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1.

図書

図書
Oded Goldreich
出版情報: Cambridge : Cambridge University Press, 2008  xxiv, 606 p. ; 27 cm
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List of Figures
Preface
Organization and Chapter Summaries
Acknowledgments
Introduction and Preliminaries / 1:
Introduction / 1.1:
A Brief Overview of Complexity Theory / 1.1.1:
Characteristics of Complexity Theory / 1.1.2:
Contents of This Book / 1.1.3:
Approach and Style of This Book / 1.1.4:
Standard Notations and Other Conventions / 1.1.5:
Computational Tasks and Models / 1.2:
Representation / 1.2.1:
Computational Tasks / 1.2.2:
Uniform Models (Algorithms) / 1.2.3:
Non-uniform Models (Circuits and Advice) / 1.2.4:
Complexity Classes / 1.2.5:
Chapter Notes
P, NP, and NP-Completeness / 2:
The P Versus NP Question / 2.1:
The Search Version: Finding Versus Checking / 2.1.1:
The Decision Version: Proving Versus Verifying / 2.1.2:
Equivalence of the Two Formulations / 2.1.3:
Two Technical Comments Regarding NP / 2.1.4:
The Traditional Definition of NP / 2.1.5:
In Support of P Different from NP / 2.1.6:
Philosophical Meditations / 2.1.7:
Polynomial-Time Reductions / 2.2:
The General Notion of a Reduction / 2.2.1:
Reducing Optimization Problems to Search Problems / 2.2.2:
Self-Reducibility of Search Problems / 2.2.3:
Digest and General Perspective / 2.2.4:
NP-Completeness / 2.3:
Definitions / 2.3.1:
The Existence of NP-Complete Problems / 2.3.2:
Some Natural NP-Complete Problems / 2.3.3:
NP Sets That Are Neither in P nor NP-Complete / 2.3.4:
Reflections on Complete Problems / 2.3.5:
Three Relatively Advanced Topics / 2.4:
Promise Problems / 2.4.1:
Optimal Search Algorithms for NP / 2.4.2:
The Class coNP and Its Intersection with NP / 2.4.3:
Exercises
Variations on P and NP / 3:
Non-uniform Polynomial Time (P/poly) / 3.1:
Boolean Circuits / 3.1.1:
Machines That Take Advice / 3.1.2:
The Polynomial-Time Hierarchy (PH) / 3.2:
Alternation of Quantifiers / 3.2.1:
Non-deterministic Oracle Machines / 3.2.2:
The P/poly Versus NP Question and PH / 3.2.3:
More Resources, More Power? / 4:
Non-uniform Complexity Hierarchies / 4.1:
Time Hierarchies and Gaps / 4.2:
Time Hierarchies / 4.2.1:
Time Gaps and Speedup / 4.2.2:
Space Hierarchies and Gaps / 4.3:
Space Complexity / 5:
General Preliminaries and Issues / 5.1:
Important Conventions / 5.1.1:
On the Minimal Amount of Useful Computation Space / 5.1.2:
Time Versus Space / 5.1.3:
Circuit Evaluation / 5.1.4:
Logarithmic Space / 5.2:
The Class L / 5.2.1:
Log-Space Reductions / 5.2.2:
Log-Space Uniformity and Stronger Notions / 5.2.3:
Undirected Connectivity / 5.2.4:
Non-deterministic Space Complexity / 5.3:
Two Models / 5.3.1:
NL and Directed Connectivity / 5.3.2:
A Retrospective Discussion / 5.3.3:
PSPACE and Games / 5.4:
Randomness and Counting / 6:
Probabilistic Polynomial Time / 6.1:
Basic Modeling Issues / 6.1.1:
Two-Sided Error: The Complexity Class BPP / 6.1.2:
One-Sided Error: The Complexity Classes RP and coRP / 6.1.3:
Zero-Sided Error: The Complexity Class ZPP / 6.1.4:
Randomized Log-Space / 6.1.5:
Counting / 6.2:
Exact Counting / 6.2.1:
Approximate Counting / 6.2.2:
Searching for Unique Solutions / 6.2.3:
Uniform Generation of Solutions / 6.2.4:
The Bright Side of Hardness / 7:
One-Way Functions / 7.1:
Generating Hard Instances and One-Way Functions / 7.1.1:
Amplification of Weak One-Way Functions / 7.1.2:
Hard-Core Preicates / 7.1.3:
Reflections on Hardness Amplification / 7.1.4:
Hard Problems in E / 7.2:
Amplification with Respect to Polynomial-Size Circuits / 7.2.1:
Amplification with Respect to Exponential-Size Circuits / 7.2.2:
Pseudorandom Generators / 8:
The General Paradigm / 8.1:
General-Purpose Pseudorandom Generators / 8.2:
The Basic Definition / 8.2.1:
The Archetypical Application / 8.2.2:
Computational Indistinguishability / 8.2.3:
Amplifying the Stretch Function / 8.2.4:
Constructions / 8.2.5:
Non-uniformly Strong Pseudorandom Generators / 8.2.6:
Stronger Notions and Conceptual Reflections / 8.2.7:
Derandomization of Time-Complexity Classes / 8.3:
Defining Canonical Derandomizers / 8.3.1:
Constructing Canonical Derandomizers / 8.3.2:
Technical Variations and Conceptual Reflections / 8.3.3:
Space-Bounded Distinguishers / 8.4:
Definitional Issues / 8.4.1:
Two Constructions / 8.4.2:
Special-Purpose Generators / 8.5:
Pairwise Independence Generators / 8.5.1:
Small-Bias Generators / 8.5.2:
Random Walks on Expanders / 8.5.3:
Probabilistic Proof Systems / 9:
Interactive Proof Systems / 9.1:
Motivation and Perspective / 9.1.1:
Definition / 9.1.2:
The Power of Interactive Proofs / 9.1.3:
Variants and Finer Structure: An Overview / 9.1.4:
On Computationally Bounded Provers: An Overview / 9.1.5:
Zero-Knowledge Proof Systems / 9.2:
The Power of Zero-Knowledge / 9.2.1:
Proofs of Knowledge - A Parenthetical Subsection / 9.2.3:
Probabilistically Checkable Proof Systems / 9.3:
The Power of Probabilistically Checkable Proofs / 9.3.1:
PCP and Approximation / 9.3.3:
More on PCP Itself: An Overview / 9.3.4:
Relaxing the Requirements / 10:
Approximation / 10.1:
Search or Optimization / 10.1.1:
Decision or Property Testing / 10.1.2:
Average-Case Complexity / 10.2:
The Basic Theory / 10.2.1:
Ramifications / 10.2.2:
Epilogue
Glossary of Complexity Classes / Appendix A:
Preliminaries / A.1:
Algorithm-Based Classes / A.2:
Time Complexity Classes / A.2.1:
Space Complexity Classes / A.2.2:
Circuit-Based Classes / A.3:
On the Quest for Lower Bounds / Appendix B:
Boolean Circuit Complexity / B.1:
Basic Results and Questions / B.2.1:
Monotone Circuits / B.2.2:
Bounded-Depth Circuits / B.2.3:
Formula Size / B.2.4:
Arithmetic Circuits / B.3:
Univariate Polynomials / B.3.1:
Multivariate Polynomials / B.3.2:
Proof Complexity / B.4:
Logical Proof Systems / B.4.1:
Algebraic Proof Systems / B.4.2:
Geometric Proof Systems / B.4.3:
On the Foundations of Modern Cryptography / Appendix C:
The Underlying Principles / C.1:
The Computational Model / C.1.2:
Organization and Beyond / C.1.3:
Computational Difficulty / C.2:
Hard-Core Predicates / C.2.1:
Pseudorandomness / C.3:
Pseudorandom Functions / C.3.1:
Zero-Knowledge / C.4:
The Simulation Paradigm / C.4.1:
The Actual Definition / C.4.2:
A General Result and a Generic Application / C.4.3:
Definitional Variations and Related Notions / C.4.4:
Encryption Schemes / C.5:
Beyond Eavesdropping Security / C.5.1:
Signatures and Message Authentication / C.6:
General Cryptographic Protocols / C.6.1:
The Definitional Approach and Some Models / C.7.1:
Some Known Results / C.7.2:
Construction Paradigms and Two Simple Protocols / C.7.3:
Concluding Remarks / C.7.4:
Probabilistic Preliminaries and Advanced Topics in Randomization / Appendix D:
Probabilistic Preliminaries / D.1:
Notational Conventions / D.1.1:
Three Inequalities / D.1.2:
Hashing / D.2:
The Leftover Hash Lemma / D.2.1:
Sampling / D.3:
Formal Setting / D.3.1:
Known Results / D.3.2:
Hitters / D.3.3:
Randomnes Extractors / D.4:
Definitions and Various Perspectives / D.4.1:
Explicit Constructions / D.4.2:
Error-Correcting Codes / E.1:
Basic Notions / E.1.1:
A Few Popular Codes / E.1.2:
Two Additional Computational Problems / E.1.3:
A List-Decoding Bound / E.1.4:
Expander Graphs / E.2:
Definitions and Properties / E.2.1:
Some Omitted Proofs / E.2.2:
Proving That PH Reduces to #P / F.1:
Proving That IP(f) [characters not reproducible] AM(O(f)) [characters not reproducible] AM(f) / F.2:
Emulating General Interactive Proofs by AM-Games / F.2.1:
Linear Speedup for AM / F.2.2:
Some Computational Problems / Appendix G:
Graphs / G.1:
Boolean Formulae / G.2:
Finite Fields, Polynomials, and Vector Spaces / G.3:
The Determinant and the Permanent / G.4:
Primes and Composite Numbers / G.5:
Bibliography
Index
List of Figures
Preface
Organization and Chapter Summaries
2.

図書

図書
Gary E. Bowman
出版情報: Oxford : Oxford University Press, 2008  xi, 208 p. ; 24 cm
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Preface
Introduction: Three Worlds / 1:
Worlds 1 and 2 / 1.1:
World 3 / 1.2:
Problems / 1.3:
The Quantum Postulates / 2:
Postulate 1: The Quantum State / 2.1:
Postulate 2: Observables, Operators, and Eigenstates / 2.2:
Postulate 3: Quantum Superpositions / 2.3:
Discrete Eigenvalues / 2.3.1:
Continuous Eigenvalues / 2.3.2:
Closing Comments / 2.4:
What Is a Quantum State? / 2.5:
Probabilities, Averages, and Uncertainties / 3.1:
Probabilities / 3.1.1:
Averages / 3.1.2:
Uncertainties / 3.1.3:
The Statistical Interpretation / 3.2:
Bohr, Einstein, and Hidden Variables / 3.3:
Background / 3.3.1:
Fundamental Issues / 3.3.2:
Einstein Revisited / 3.3.3:
The Structure of Quantum States / 3.4:
Mathematical Preliminaries / 4.1:
Vector Spaces / 4.1.1:
Function Spaces / 4.1.2:
Dirac's Bra-ket Notation / 4.2:
Bras and Kets / 4.2.1:
Labeling States / 4.2.2:
The Scalar Product / 4.3:
Quantum Scalar Products / 4.3.1:
Discussion / 4.3.2:
Representations / 4.4:
Basics / 4.4.1:
Superpositions and Representations / 4.4.2:
Representational Freedom / 4.4.3:
Operators / 4.5:
Introductory Comments / 5.1:
Hermitian Operators / 5.2:
Adjoint Operators / 5.2.1:
Hermitian Operators: Definition and Properties / 5.2.2:
Wavefunctions and Hermitian Operators / 5.2.3:
Projection and Identity Operators / 5.3:
Projection Operators / 5.3.1:
The Identity Operator / 5.3.2:
Unitary Operators / 5.4:
Matrix Mechanics / 5.5:
Elementary Matrix Operations / 6.1:
Vectors and Scalar Products / 6.1.1:
Matrices and Matrix Multiplication / 6.1.2:
Vector Transformations / 6.1.3:
States as Vectors / 6.2:
Operators as Matrices / 6.3:
An Operator in Its Eigenbasis / 6.3.1:
Matrix Elements and Alternative Bases / 6.3.2:
Change of Basis / 6.3.3:
Adjoint, Hermitian, and Unitary Operators / 6.3.4:
Eigenvalue Equations / 6.4:
Commutators and Uncertainty Relations / 6.5:
The Commutator / 7.1:
Definition and Characteristics / 7.1.1:
Commutators in Matrix Mechanics / 7.1.2:
The Uncertainty Relations / 7.2:
Uncertainty Products / 7.2.1:
General Form of the Uncertainty Relations / 7.2.2:
Interpretations / 7.2.3:
Reflections / 7.2.4:
Angular Momentum / 7.3:
Angular Momentum in Classical Mechanics / 8.1:
Basics of Quantum Angular Momentum / 8.2:
Operators and Commutation Relations / 8.2.1:
Eigenstates and Eigenvalues / 8.2.2:
Raising and Lowering Operators / 8.2.3:
Physical Interpretation / 8.3:
Measurements / 8.3.1:
Relating L[superscript 2] and L[subscript z] / 8.3.2:
Orbital and Spin Angular Momentum / 8.4:
Orbital Angular Momentum / 8.4.1:
Spin Angular Momentum / 8.4.2:
Review / 8.5:
The Time-Independent Schrodinger Equation / 8.6:
An Eigenvalue Equation for Energy / 9.1:
Using the Schrodinger Equation / 9.2:
Conditions on Wavefunctions / 9.2.1:
An Example: the Infinite Potential Well / 9.2.2:
Interpretation / 9.3:
Energy Eigenstates in Position Space / 9.3.1:
Overall and Relative Phases / 9.3.2:
Potential Barriers and Tunneling / 9.4:
The Step Potential / 9.4.1:
The Step Potential and Scattering / 9.4.2:
Tunneling / 9.4.3:
What's Wrong with This Picture? / 9.5:
Why Is the State Complex? / 9.6:
Complex Numbers / 10.1:
Polar Form / 10.1.1:
Argand Diagrams and the Role of the Phase / 10.1.3:
The Phase in Quantum Mechanics / 10.2:
Phases and the Description of States / 10.2.1:
Phase Changes and Probabilities / 10.2.2:
Unitary Operators Revisited / 10.2.3:
Unitary Operators, Phases, and Probabilities / 10.2.4:
Example: A Spin 1/2 System / 10.2.5:
Wavefunctions / 10.3:
Time Evolution / 10.4:
The Time-Dependent Schrodinger Equation / 11.1:
How Time Evolution Works / 11.2:
Time Evolving a Quantum State / 11.2.1:
Unitarity and Phases Revisited / 11.2.2:
Expectation Values / 11.3:
Time Derivatives / 11.3.1:
Constants of the Motion / 11.3.2:
Energy-Time Uncertainty Relations / 11.4:
Conceptual Basis / 11.4.1:
Spin 1/2: An Example / 11.4.2:
What is a Wavefunction? / 11.5:
Eigenstates and Coefficients / 12.1.1:
Representations and Operators / 12.1.2:
Changing Representations / 12.2:
Change of Basis Revisited / 12.2.1:
From x to p and Back Again / 12.2.2:
Gaussians and Beyond / 12.2.3:
Phases and Time Evolution / 12.3:
Free Particle Evolution / 12.3.1:
Wavepackets / 12.3.2:
Bra-ket Notation / 12.4:
Quantum States / 12.4.1:
Eigenstates and Transformations / 12.4.2:
Epilogue / 12.5:
Mathematical Concepts / 12.6:
Complex Numbers and Functions / A.1:
Differentiation / A.2:
Integration / A.3:
Differential Equations / A.4:
Quantum Measurement / B:
The Harmonic Oscillator / C:
Energy Eigenstates and Eigenvalues / C.1:
The Number Operator and its Cousins / C.2:
Photons as Oscillators / C.3:
Unitary Transformations / D:
Finite Transformations and Generators / D.1:
Continuous Symmetries / D.3:
Symmetry Transformations / D.3.1:
Symmetries of Physical Law / D.3.2:
System Symmetries / D.3.3:
Bibliography
Index
Preface
Introduction: Three Worlds / 1:
Worlds 1 and 2 / 1.1:
3.

図書

図書
Zhen-Gang Ji
出版情報: Hoboken, N.J. : Wiley-Interscience, c2008  xxii, 676 p. ; 25 cm.
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Foreword
Preface
Acknowledgments
Introduction / 1:
Overview / 1.1:
Understanding Surface Waters / 1.2:
Modeling of Surface Waters / 1.3:
About This Book / 1.4:
Hydrodynamics / 2:
Hydrodynamic Processes / 2.1:
Water Density / 2.1.1:
Conservation Laws / 2.1.2:
Advection and Dispersion / 2.1.3:
Mass Balance Equation / 2.1.4:
Atmospheric Forcings / 2.1.5:
Coriolis Force and Geostrophic Flow / 2.1.6:
Governing Equations / 2.2:
Basic Approximations / 2.2.1:
Equations in Cartesian Coordinates / 2.2.2:
Vertical Mixing and Turbulence Models / 2.2.3:
Equations in Curvilinear Coordinates / 2.2.4:
Initial Conditions and Boundary Conditions / 2.2.5:
Temperature / 2.3:
Heatflux Components / 2.3.1:
Temperature Formulations / 2.3.2:
Hydrodynamic Modeling / 2.4:
Hydrodynamic Parameters and Data Requirements / 2.4.1:
Case Study I: Lake Okeechobee / 2.4.2:
Case Study II: St. Lucie Estuary and Indian River Lagoon / 2.4.3:
Sediment Transport / 3:
Properties of Sediment / 3.1:
Problems Associated with Sediment / 3.1.2:
Sediment Processes / 3.2:
Particle Settling / 3.2.1:
Horizontal Transport of Sediment / 3.2.2:
Resuspension and Deposition / 3.2.3:
Equations for Sediment Transport / 3.2.4:
Turbidity and Secchi Depth / 3.2.5:
Cohesive Sediment / 3.3:
Vertical Profiles of Cohesive Sediment Concentrations / 3.3.1:
Flocculation / 3.3.2:
Settling of Cohesive Sediment / 3.3.3:
Deposition of Cohesive Sediment / 3.3.4:
Resuspension of Cohesive Sediment / 3.3.5:
Noncohesive Sediment / 3.4:
Shields Diagram / 3.4.1:
Settling and Equilibrium Concentration / 3.4.2:
Bed Load Transport / 3.4.3:
Sediment Bed / 3.5:
Characteristics of Sediment Bed / 3.5.1:
A Model for Sediment Bed / 3.5.2:
Wind Waves / 3.6:
Wave Processes / 3.6.1:
Wind Wave Characteristics / 3.6.2:
Wind Wave Models / 3.6.3:
Combined Flows of Wind Waves and Currents / 3.6.4:
Case Study: Wind Wave Modeling in Lake Okeechobee / 3.6.5:
Sediment Transport Modeling / 3.7:
Sediment Parameters and Data Requirements / 3.7.1:
Case Study II: Blackstone River / 3.7.2:
Pathogens and Toxics / 4:
Pathogens / 4.1:
Bacteria, Viruses, and Protozoa / 4.2.1:
Pathogen Indicators / 4.2.2:
Processes Affecting Pathogens / 4.2.3:
Toxic Substances / 4.3:
Toxic Organic Chemicals / 4.3.1:
Metals / 4.3.2:
Sorption and Desorption / 4.3.3:
Fate and Transport Processes / 4.4:
Mathematical Formulations / 4.4.1:
Processes Affecting Fate and Decay / 4.4.2:
Contaminant Modeling / 4.5:
Case Study I: St. Lucie Estuary and Indian River Lagoon / 4.5.1:
Case Study II: Rockford Lake / 4.5.2:
Water Quality and Eutrophication / 5:
Eutrophication / 5.1:
Algae / 5.1.2:
Nutrients / 5.1.3:
Dissolved Oxygen / 5.1.4:
Governing Equations for Water Quality Processes / 5.1.5:
Algal Biomass and Chlorophyll / 5.2:
Equations for Algal Processes / 5.2.2:
Algal Growth / 5.2.3:
Algal Reduction / 5.2.4:
Silica and Diatom / 5.2.5:
Periphyton / 5.2.6:
Organic Carbon / 5.3:
Decomposition of Organic Carbon / 5.3.1:
Equations for Organic Carbon / 5.3.2:
Heterotrophic Respiration and Dissolution / 5.3.3:
Phosphorus / 5.4:
Equations for Phosphorus State Variables / 5.4.1:
Phosphorus Processes / 5.4.2:
Nitrogen / 5.5:
Forms of Nitrogen / 5.5.1:
Equations for Nitrogen State Variables / 5.5.2:
Nitrogen Processes / 5.5.3:
Biochemical Oxygen Demand / 5.6:
Processes and Equations of Dissolved Oxygen / 5.6.2:
Effects of Photosynthesis and Respiration / 5.6.3:
Reaeration / 5.6.4:
Chemical Oxygen Demand / 5.6.5:
Sediment Fluxes / 5.7:
Sediment Diagenesis Model / 5.7.1:
Depositional Fluxes / 5.7.2:
Diagenesis Fluxes / 5.7.3:
Silica / 5.7.4:
Coupling with Sediment Resuspension / 5.7.6:
Submerged Aquatic Vegetation / 5.8:
Equations for a SAV Model / 5.8.1:
Coupling with the Water Quality Model / 5.8.3:
Water Quality Modeling / 5.9:
Model Parameters and Data Requirements / 5.9.1:
External Sources and TMDL / 5.9.2:
Point Sources and Nonpoint Sources / 6.1:
Atmospheric Deposition / 6.2:
Wetlands and Groundwater / 6.3:
Wetlands / 6.3.1:
Groundwater / 6.3.2:
Watershed Processes and TMDL Development / 6.4:
Watershed Processes / 6.4.1:
Total Maximum Daily Load (TMDL) / 6.4.2:
Mathematical Modeling and Statistical Analyses / 7:
Mathematical Models / 7.1:
Numerical Models / 7.1.1:
Model Selection / 7.1.2:
Spatial Resolution and Temporal Resolution / 7.1.3:
Statistical Analyses / 7.2:
Statistics for Model Performance Evaluation / 7.2.1:
Correlation and Regression / 7.2.2:
Spectral Analysis / 7.2.3:
Empirical Orthogonal Function (EOF) / 7.2.4:
EOF Case Study / 7.2.5:
Model Calibration and Verification / 7.3:
Model Calibration / 7.3.1:
Model Verification and Validation / 7.3.2:
Sensitivity Analysis / 7.3.3:
Rivers / 8:
Characteristics of Rivers / 8.1:
Hydrodynamic Processes in Rivers / 8.2:
River Flow and the Manning Equation / 8.2.1:
Advection and Dispersion in Rivers / 8.2.2:
Flow over Dams / 8.2.3:
Sediment and Water Quality Processes in Rivers / 8.3:
Sediment and Contaminants in Rivers / 8.3.1:
Impacts of River Flow on Water Quality / 8.3.2:
Eutrophication and Periphyton in Rivers / 8.3.3:
Dissolved Oxygen in Rivers / 8.3.4:
River Modeling / 8.4:
Case Study I: Blackstone River / 8.4.1:
Case Study II: Susquehanna River / 8.4.2:
Lakes and Reservoirs / 9:
Characteristics of Lakes and Reservoirs / 9.1:
Key Factors Controlling a Lake / 9.1.1:
Vertical Stratification / 9.1.2:
Biological Zones in Lakes / 9.1.3:
Characteristics of Reservoirs / 9.1.4:
Lake Pollution and Eutrophication / 9.1.5:
Inflow, Outflow, and Water Budget / 9.2:
Wind Forcing and Vertical Circulations / 9.2.2:
Seasonal Variations of Stratification / 9.2.3:
Gyres / 9.2.4:
Seiches / 9.2.5:
Sediment and Water Quality Processes in Lakes / 9.3:
Sediment Deposition in Reservoirs and Lakes / 9.3.1:
Algae and Nutrient Stratifications / 9.3.2:
Dissolved Oxygen Stratifications / 9.3.3:
Internal Cycling and Limiting Functions in Shallow Lakes / 9.3.4:
Lake Modeling / 9.4:
Case Study I: Lake Tenkiller / 9.4.1:
Case Study II: Lake Okeechobee / 9.4.2:
Estuaries and Coastal Waters / 10:
Tidal Processes / 10.1:
Tides / 10.2.1:
Tidal Currents / 10.2.2:
Harmonic Analysis / 10.2.3:
Hydrodynamic Processes in Estuaries / 10.3:
Salinity / 10.3.1:
Estuarine Circulation / 10.3.2:
Stratifications of Estuaries / 10.3.3:
Flushing Time / 10.3.4:
Sediment and Water Quality Processes in Estuaries / 10.4:
Sediment Transport under Tidal Forcing / 10.4.1:
Flocculation of Cohesive Sediment and Sediment Trapping / 10.4.2:
Eutrophication in Estuaries / 10.4.3:
Estuarine and Coastal Modeling / 10.5:
Open Boundary Conditions / 10.5.1:
Case Study I: Morro Bay / 10.5.2:
Environmental Fluid Dynamics Code / 10.5.3:
Toxic Chemical Transport and Fate / A1:
Numerical Schemes / A5:
Documentation and Application Aids / A7:
Conversion Factors / Appendix B:
Contents of Electronic Files / Appendix C:
Channel Model / C1:
St. Lucie Estuary and Indian River Lagoon Model / C2:
Lake Okeechobee Environmental Model / C3:
Documentation and Utility Programs / C4:
Bibliography
Index
Foreword
Preface
Acknowledgments
4.

図書

図書
Chris A.M. Peters, Joseph H.M. Steenbrink
出版情報: Berlin : Springer, c2008  xiii, 470 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, v. 52
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Introduction
Basic Hodge Theory / Part I:
Compact Kahler Manifolds / 1:
Classical Hodge Theory / 1.1:
Harmonic Theory / 1.1.1:
The Hodge Decomposition / 1.1.2:
Hodge Structures in Cohomology and Homology / 1.1.3:
The Lefschetz Decomposition / 1.2:
Representation Theory of SL(2, R) / 1.2.1:
Primitive Cohomology / 1.2.2:
Applications / 1.3:
Pure Hodge Structures / 2:
Hodge Structures / 2.1:
Basic Definitions / 2.1.1:
Polarized Hodge Structures / 2.1.2:
Mumford-Tate Groups of Hodge Structures / 2.2:
Hodge Filtration and Hodge Complexes / 2.3:
Hodge to De Rham Spectral Sequence / 2.3.1:
Strong Hodge Decompositions / 2.3.2:
Hodge Complexes and Hodge Complexes of Sheaves / 2.3.3:
Refined Fundamental Classes / 2.4:
Almost Kahler V-Manifolds / 2.5:
Abstract Aspects of Mixed Hodge Structures / 3:
Introduction to Mixed Hodge Structures: Formal Aspects / 3.1:
Comparison of Filtrations / 3.2:
Mixed Hodge Structures and Mixed Hodge Complexes / 3.3:
The Mixed Cone / 3.4:
Extensions of Mixed Hodge Structures / 3.5:
Mixed Hodge Extensions / 3.5.1:
Iterated Extensions and Absolute Hodge Cohomology / 3.5.2:
Mixed Hodge structures on Cohomology Groups / Part II:
Smooth Varieties / 4:
Main Result / 4.1:
Residue Maps / 4.2:
Associated Mixed Hodge Complexes of Sheaves / 4.3:
Logarithmic Structures / 4.4:
Independence of the Compactification and Further Complements / 4.5:
Invariance / 4.5.1:
Restrictions for the Hodge Numbers / 4.5.2:
Theorem of the Fixed Part and Applications / 4.5.3:
Application to Lefschetz Pencils / 4.5.4:
Singular Varieties / 5:
Simplicial and Cubical Sets / 5.1:
Sheaves on Semi-simplicial Spaces and Their Cohomology / 5.1.1:
Cohomological Descent and Resolutions / 5.1.3:
Construction of Cubical Hyperresolutions / 5.2:
Mixed Hodge Theory for Singular Varieties / 5.3:
The Basic Construction / 5.3.1:
Mixed Hodge Theory of Proper Modifications / 5.3.2:
Restriction on the Hodge Numbers / 5.3.3:
Cup Product and the Kunneth Formula / 5.4:
Relative Cohomology / 5.5:
Construction of the Mixed Hodge Structure / 5.5.1:
Cohomology with Compact Support / 5.5.2:
Singular Varieties: Complementary Results / 6:
The Leray Filtration / 6.1:
Deleted Neighbourhoods of Algebraic Sets / 6.2:
Mixed Hodge Complexes / 6.2.1:
Products and Deleted Neighbourhoods / 6.2.2:
Semi-purity of the Link / 6.2.3:
Cup and Cap Products, and Duality / 6.3:
Duality for Cohomology with Compact Supports / 6.3.1:
The Extra-Ordinary Cup Product / 6.3.2:
Applications to Algebraic Cycles and to Singularities / 7:
The Hodge Conjectures / 7.1:
Versions for Smooth Projective Varieties / 7.1.1:
The Hodge Conjecture and the Intermediate Jacobian / 7.1.2:
A Version for Singular Varieties / 7.1.3:
Deligne Cohomology / 7.2:
Basic Properties / 7.2.1:
Cycle Classes for Deligne Cohomology / 7.2.2:
The Filtered De Rham Complex And Applications / 7.3:
The Filtered De Rham Complex / 7.3.1:
Application to Vanishing Theorems / 7.3.2:
Applications to Du Bois Singularities / 7.3.3:
Mixed Hodge Structures on Homotopy Groups / Part III:
Hodge Theory and Iterated Integrals / 8:
Some Basic Results from Homotopy Theory / 8.1:
Formulation of the Main Results / 8.2:
Loop Space Cohomology and the Homotopy De Rham Theorem / 8.3:
Iterated Integrals / 8.3.1:
Chen's Version of the De Rham Theorem / 8.3.2:
The Bar Construction / 8.3.3:
Iterated Integrals of 1-Forms / 8.3.4:
The Homotopy De Rham Theorem for the Fundamental Group / 8.4:
Mixed Hodge Structure on the Fundamental Group / 8.5:
The Sullivan Construction / 8.6:
Mixed Hodge Structures on the Higher Homotopy Groups / 8.7:
Hodge Theory and Minimal Models / 9:
Minimal Models of Differential Graded Algebras / 9.1:
Postnikov Towers and Minimal Models; the Simply Connected Case / 9.2:
Mixed Hodge Structures on the Minimal Model / 9.3:
Formality of Compact Kahler Manifolds / 9.4:
The 1-Minimal Model / 9.4.1:
The De Rham Fundamental Group / 9.4.2:
Formality / 9.4.3:
Hodge Structures and Local Systems / Part IV:
Variations of Hodge Structure / 10:
Preliminaries: Local Systems over Complex Manifolds / 10.1:
Abstract Variations of Hodge Structure / 10.2:
Big Monodromy Groups, an Application / 10.3:
Variations of Hodge Structures Coming From Smooth Families / 10.4:
Degenerations of Hodge Structures / 11:
Local Systems Acquiring Singularities / 11.1:
Connections with Logarithmic Poles / 11.1.1:
The Riemann-Hilbert Correspondence (I) / 11.1.2:
The Limit Mixed Hodge Structure on Nearby Cycle Spaces / 11.2:
Asymptotics for Variations of Hodge Structure over a Punctured Disk / 11.2.1:
Geometric Set-Up and Preliminary Reductions / 11.2.2:
The Nearby and Vanishing Cycle Functor / 11.2.3:
The Relative Logarithmic de Rham Complex and Quasi-unipotency of the Monodromy / 11.2.4:
The Complex Monodromy Weight Filtration and the Hodge Filtration / 11.2.5:
The Rational Structure / 11.2.6:
The Mixed Hodge Structure on the Limit / 11.2.7:
Geometric Consequences for Degenerations / 11.3:
Monodromy, Specialization and Wang Sequence / 11.3.1:
The Monodromy and Local Invariant Cycle Theorems / 11.3.2:
Examples / 11.4:
Applications of Asymptotic Hodge theory / 12:
Applications to Singularities / 12.1:
Localizing Nearby Cycles / 12.1.1:
A Mixed Hodge Structure on the Cohomology of Milnor Fibres / 12.1.2:
The Spectrum of Singularities / 12.1.3:
An Application to Cycles: Grothendieck's Induction Principle / 12.2:
Perverse Sheaves and D-Modules / 13:
Verdier Duality / 13.1:
Dimension / 13.1.1:
The Dualizing Complex / 13.1.2:
Statement of Verdier Duality / 13.1.3:
Extraordinary Pull Back / 13.1.4:
Perverse Complexes / 13.2:
Intersection Homology and Cohomology / 13.2.1:
Constructible and Perverse Complexes / 13.2.2:
An Example: Nearby and Vanishing Cycles / 13.2.3:
Introduction to D-Modules / 13.3:
Integrable Connections and D-Modules / 13.3.1:
From Left to Right and Vice Versa / 13.3.2:
Derived Categories of D-modules / 13.3.3:
Inverse and Direct Images / 13.3.4:
An Example: the Gauss-Manin System / 13.3.5:
Coherent D-Modules / 13.4:
Good Filtrations and Characteristic Varieties / 13.4.1:
Behaviour under Direct and Inverse Images / 13.4.3:
Filtered D-modules / 13.5:
Derived Categories / 13.5.1:
Duality / 13.5.2:
Functoriality / 13.5.3:
Holonomic D-Modules / 13.6:
Symplectic Geometry / 13.6.1:
Basics on Holonomic D-Modules / 13.6.2:
The Riemann-Hilbert Correspondence (II) / 13.6.3:
Mixed Hodge Modules / 14:
An Axiomatic Introduction / 14.1:
The Axioms / 14.1.1:
First Consequences of the Axioms / 14.1.2:
Spectral Sequences / 14.1.3:
Intersection Cohomology / 14.1.4:
The Kashiwara-Malgrange Filtration / 14.1.5:
Motivation / 14.2.1:
The Rational V-Filtration / 14.2.2:
Polarizable Hodge Modules / 14.3:
Hodge Modules / 14.3.1:
Polarizations / 14.3.2:
Lefschetz Operators and the Decomposition Theorem / 14.3.3:
Variations of Mixed Hodge Structure / 14.4:
Defining Mixed Hodge Modules / 14.4.2:
About the Axioms / 14.4.3:
Application: Vanishing Theorems / 14.4.4:
The Motivic Hodge Character and Motivic Chern Classes / 14.4.5:
Appendices / Part V:
Homological Algebra / A:
Additive and Abelian Categories / A.1:
Pre-Abelian Categories / A.1.1:
Additive Categories / A.1.2:
The Homotopy Category / A.2:
The Derived Category / A.2.2:
Injective and Projective Resolutions / A.2.3:
Derived Functors / A.2.4:
Properties of the Ext-functor / A.2.5:
Yoneda Extensions / A.2.6:
Spectral Sequences and Filtrations / A.3:
Filtrations / A.3.1:
Spectral Sequences and Exact Couples / A.3.2:
Filtrations Induce Spectral Sequences / A.3.3:
Derived Functors and Spectral Sequences / A.3.4:
Algebraic and Differential Topology / B:
Singular (Co)homology and Borel-Moore Homology / B.1:
Basic Definitions and Tools / B.1.1:
Pairings and Products / B.1.2:
Sheaf Cohomology / B.2:
The Godement Resolution and Cohomology / B.2.1:
Cohomology and Supports / B.2.2:
Cech Cohomology / B.2.3:
De Rham Theorems / B.2.4:
Direct and Inverse Images / B.2.5:
Sheaf Cohomology and Closed Subspaces / B.2.6:
Mapping Cones and Cylinders / B.2.7:
Duality Theorems on Manifolds / B.2.8:
Orientations and Fundamental Classes / B.2.9:
Local Systems and Their Cohomology / B.3:
Local Systems and Locally Constant Sheaves / B.3.1:
Homology and Cohomology / B.3.2:
Local Systems and Flat Connections / B.3.3:
Stratified Spaces and Singularities / C:
Stratified Spaces / C.1:
Pseudomanifolds / C.1.1:
Whitney Stratifications / C.1.2:
Fibrations, and the Topology of Singularities / C.2:
The Milnor Fibration / C.2.1:
Topology of One-parameter Degenerations / C.2.2:
An Example: Lefschetz Pencils / C.2.3:
References
Index of Notations
Index
Introduction
Basic Hodge Theory / Part I:
Compact Kahler Manifolds / 1:
5.

図書

図書
R. S. Cant, E. Mastorakos
出版情報: London : Imperial College Press, c2008  xiii, 177 p. ; 24 cm
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Preface
Introduction / 1:
Motivation, aims and audience / 1.1:
Relevance / 1.1.1:
Aims and structure / 1.1.2:
Bibliography / 1.1.3:
Governing equations / 1.2:
Instantaneous equations and basic concepts / 1.2.1:
Reynolds averaging / 1.2.2:
The mean reaction rate / 1.2.3:
Summary / 1.3:
Exercises / 1.4:
Some Comments on Turbulence / 2:
Statistical description / 2.1:
The randomness of turbulence / 2.2.1:
Probability density functions / 2.2.2:
Turbulent scales / 2.3:
Large-eddy scales / 2.3.1:
Dissipation and small scales / 2.3.2:
Taylor microscale / 2.3.3:
What are eddies? / 2.3.4:
Temporal and spatial correlations / 2.4:
Temporal autocorrelation / 2.4.1:
The convergence of averages / 2.4.2:
Spatial autocorrelation / 2.4.3:
Taylor hypothesis / 2.4.4:
Scalar scales / 2.4.5:
Reynolds-averaged equations / 2.5:
First moments / 2.5.1:
Eddy diffusivity / 2.5.2:
Second moments / 2.5.3:
Computational Fluid Dynamics / 2.5.4:
Spectra and intermittency / 2.6:
Spectra / 2.6.1:
Intermittency / 2.6.2:
Mixing / 2.7:
Molecular mixing / 3.1:
Some analytical solutions / 3.2.1:
Transport properties / 3.2.2:
Random walk / 3.2.3:
Brownian motion / 3.2.4:
Turbulent mixing / 3.3:
Taylor dispersion / 3.3.1:
Characterization of mixing / 3.3.2:
Length scales and spectra / 3.3.3:
Scalar dissipation / 3.3.4:
Reaction-diffusion systems / 3.4:
Propagating front 1 / 3.4.1:
Propagating front 2 / 3.4.2:
Unsteady flamelet equation / 3.4.3:
Final comments / 3.4.4:
Flows with Non-premixed Reactants / 3.5:
Moment methods / 4.1:
Neglecting the fluctuations: very slow chemistry / 4.2.1:
Eddy Dissipation Concept and derivatives / 4.2.2:
Second-order / 4.2.3:
Presumed joint pdf / 4.2.4:
Other / 4.2.5:
The well-stirred reactor / 4.3:
Conserved scalar methods / 4.4:
Mixture fraction / 4.4.1:
Qualitative structure of a laminar non-premixed flame / 4.4.2:
Fast chemistry / 4.4.3:
The pdf of the mixture fraction / 4.4.4:
Steady and transient flamelets / 4.4.5:
Conditional Moment Closure / 4.4.6:
Flame Surface Density / 4.4.7:
Transported pdf / 4.5:
Monte-Carlo method / 4.5.1:
Further developments / 4.5.3:
Concluding comments / 4.6:
Flows with Premixed Reactants / 4.7:
Laminar premixed flames / 5.1:
Background / 5.2.1:
Propagation / 5.2.2:
Laminar premixed flame structure / 5.2.3:
Estimation of laminar premixed flame thickness / 5.2.4:
Effects of mixture strength: flammability limits / 5.2.5:
Effects of pressure and temperature / 5.2.6:
Turbulent premixed flames / 5.3:
Turbulent burning velocity / 5.3.1:
Stretch, strain and curvature / 5.3.2:
Turbulent flame speed measurements / 5.3.3:
Turbulent flame speed correlations / 5.3.4:
Turbulent flame speed: a fractal approach / 5.3.5:
Dimensionless numbers for turbulent premixed flames / 5.3.6:
Regime diagrams / 5.3.7:
Turbulent premixed combustion modelling / 5.4:
Favre averaging / 5.4.1:
Turbulent transport in premixed flames / 5.4.2:
Eddy Break-Up Model for premixed flames / 5.4.3:
The laminar flamelet concept / 5.4.4:
Laminar flamelets in practice / 5.4.5:
Bray-Moss-Libby transport modelling / 5.4.6:
Bray-Moss-Libby reaction rate modelling / 5.4.7:
Flame surface density modelling / 5.4.8:
The G-equation formulation / 5.4.9:
Other models for turbulent premixed flames / 5.4.10:
Numerical Methods for Reacting Flows / 5.5:
Combustion CFD / 6.1:
Unsteady convection-diffusion-reaction equation / 6.2.1:
Spatial discretisation / 6.2.2:
Solution algorithms / 6.2.3:
RANS, LES and DNS / 6.2.4:
Numerical considerations for combustion problems / 6.2.5:
Numerical solvers for stiff differential equations / 6.3:
Forward Euler method / 6.3.1:
Timescales and stiffness / 6.3.3:
Properties of solvers / 6.3.4:
Solvers for chemical systems / 6.3.5:
Method of lines / 6.3.6:
Experimental Methods for Reacting Flows / 6.3.7:
General concepts / 7.1:
Uncertainties and measurement errors / 7.2.1:
Resolution and response / 7.2.2:
Filtering / 7.2.3:
Measurement techniques for reacting flows / 7.3:
Visualization / 7.3.1:
Intrusive techniques / 7.3.2:
Non-intrusive techniques / 7.3.3:
Epilogue / 7.4:
Index
Preface
Introduction / 1:
Motivation, aims and audience / 1.1:
6.

図書

図書
John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff
出版情報: New York, NY : Springer, c2008  xv, 381 p. ; 25 cm
シリーズ名: Undergraduate texts in mathematics
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Preface to the Second Edition
Preface to the First Edition
Graph Theory / 1:
Introductory Concepts / 1.1:
Graphs and Their Relatives / 1.1.1:
The Basics / 1.1.2:
Special Types of Graphs / 1.1.3:
Distance in Graphs / 1.2:
Definitions and a Few Properties / 1.2.1:
Graphs and Matrices / 1.2.2:
Graph Models and Distance / 1.2.3:
Trees / 1.3:
Definitions and Examples / 1.3.1:
Properties of Trees / 1.3.2:
Spanning Trees / 1.3.3:
Counting Trees / 1.3.4:
Trails, Circuits, Paths, and Cycles / 1.4:
The Bridges of Konigsberg / 1.4.1:
Eulerian Trails and Circuits / 1.4.2:
Hamiltonian Paths and Cycles / 1.4.3:
Three Open Problems / 1.4.4:
Planarity / 1.5:
Euler's Formula and Beyond / 1.5.1:
Regular Polyhedra / 1.5.3:
Kuratowski's Theorem / 1.5.4:
Colorings / 1.6:
Definitions / 1.6.1:
Bounds on Chromatic Number / 1.6.2:
The Four Color Problem / 1.6.3:
Chromatic Polynomials / 1.6.4:
Matchings / 1.7:
Hall's Theorem and SDRs / 1.7.1:
The Konig-Egervary Theorem / 1.7.3:
Perfect Matchings / 1.7.4:
Ramsey Theory / 1.8:
Classical Ramsey Numbers / 1.8.1:
Exact Ramsey Numbers and Bounds / 1.8.2:
Graph Ramsey Theory / 1.8.3:
References / 1.9:
Combinatorics / 2:
Some Essential Problems / 2.1:
Binomial Coefficients / 2.2:
Multinomial Coefficients / 2.3:
The Pigeonhole Principle / 2.4:
The Principle of Inclusion and Exclusion / 2.5:
Generating Functions / 2.6:
Double Decks / 2.6.1:
Counting with Repetition / 2.6.2:
Changing Money / 2.6.3:
Fibonacci Numbers / 2.6.4:
Recurrence Relations / 2.6.5:
Catalan Numbers / 2.6.6:
Polya's Theory of Counting / 2.7:
Permutation Groups / 2.7.1:
Burnside's Lemma / 2.7.2:
The Cycle Index / 2.7.3:
Polya's Enumeration Formula / 2.7.4:
de Bruijn's Generalization / 2.7.5:
More Numbers / 2.8:
Partitions / 2.8.1:
Stirling Cycle Numbers / 2.8.2:
Stirling Set Numbers / 2.8.3:
Bell Numbers / 2.8.4:
Eulerian Numbers / 2.8.5:
Stable Marriage / 2.9:
The Gale-Shapley Algorithm / 2.9.1:
Variations on Stable Marriage / 2.9.2:
Combinatorial Geometry / 2.10:
Sylvester's Problem / 2.10.1:
Convex Polygons / 2.10.2:
Infinite Combinatorics and Graphs / 2.11:
Pigeons and Trees / 3.1:
Ramsey Revisited / 3.2:
ZFC / 3.3:
Language and Logical Axioms / 3.3.1:
Proper Axioms / 3.3.2:
Axiom of Choice / 3.3.3:
The Return of der Konig / 3.4:
Ordinals, Cardinals, and Many Pigeons / 3.5:
Cardinality / 3.5.1:
Ordinals and Cardinals / 3.5.2:
Pigeons Finished Off / 3.5.3:
Incompleteness and Cardinals / 3.6:
Godel's Theorems for PA and ZFC / 3.6.1:
Inaccessible Cardinals / 3.6.2:
A Small Collage of Large Cardinals / 3.6.3:
Weakly Compact Cardinals / 3.7:
Infinite Marriage Problems / 3.8:
Hall and Hall / 3.8.1:
Countably Many Men / 3.8.2:
Uncountably Many Men / 3.8.3:
Espousable Cardinals / 3.8.4:
Finite Combinatorics with Infinite Consequences / 3.8.5:
k-critical Linear Orderings / 3.10:
Points of Departure / 3.11:
Index / 3.12:
Preface to the Second Edition
Preface to the First Edition
Graph Theory / 1:
7.

図書

図書
Malte Henkel, Haye Hinrichsen, Sven Lübeck
出版情報: Dordrecht : Springer , Bristol : In association with Canopus Academic Publishing Limited, c2008  xi, 385 p. ; 24 cm
シリーズ名: Theoretical and mathematical physics ; . Non-equilibrium phase transitions ; v. 1
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Introduction / 1:
Problems
Survey of Equilibrium Critical Phenomena / 2:
Phase Transitions in Equilibrium Systems / 2.1:
Notations / 2.1.1:
Phase Transitions in Ferromagnetic Systems / 2.1.2:
Power-law Scaling / 2.1.3:
Scale-Invariance and Universality / 2.2:
Scale-Invariance / 2.2.1:
Scaling Functions and Data Collapses / 2.2.2:
Universality Classes / 2.2.3:
Experimental Evidence of Universality / 2.2.4:
Mean-Field and Renormalisation Group Methods / 2.3:
Mean-Field Theory of Ferromagnetic Systems / 2.3.1:
Universal Amplitude Ratios / 2.3.2:
Remarks on Renormalisation-Group Theory / 2.3.3:
Scaling Laws Induced by Renormalisation-Group Theory / 2.3.4:
Field-Theory and ?-Expansion / 2.3.5:
Surface Critical Phenomena / 2.3.6:
Finite-Size Scaling / 2.3.7:
Fluctuation-Dissipation Theorem / 2.4:
From Scale-Invariance to Conformal Invariance / 2.5:
Directed Percolation / 3:
Directed Percolation at First Glance / 3.1:
Directed Percolation as a Stochastic Process / 3.2:
Basic Scaling Behaviour / 3.2.1:
Universality and the DP Conjecture / 3.2.2:
Simple Mean-Field Approximation / 3.2.3:
Phenomenological Langevin Equation / 3.2.4:
Update Schemes and Evolution Equations / 3.2.5:
Lattice Models of Directed Percolation / 3.3:
Domany-Kinzel Automaton / 3.3.1:
Contact Process / 3.3.2:
Pair-Contact Process / 3.3.3:
Threshold Transfer Process / 3.3.4:
Ziff-Gulari-Barshad Model / 3.3.5:
Further Non-equilibrium Phenomena Related to DP / 3.3.6:
Experiments Related to Directed Percolation / 3.4:
Experiments Resembling DP Dynamics / 3.4.1:
Growth Processes Related to DP / 3.4.2:
Intermittent Turbulence / 3.4.3:
Discussion / 3.4.4:
Scaling Properties of Absorbing Phase Transitions / 4:
Scaling in the Steady-State / 4.1:
Order Parameters / 4.1.1:
Rapidity-Reversal Symmetry of Directed Percolation / 4.1.2:
Two-Point Correlation Function in the Steady-State / 4.1.3:
Empty-Interval Probabilities in the Steady-State / 4.1.6:
The External Field h / 4.1.7:
Fluctuations of the Order-Parameter in the Steady-State / 4.1.8:
Finite-Size Scaling in the Steady-State / 4.1.9:
Dynamical Scaling Behaviour / 4.2:
Homogeneously Active Initial State / 4.2.1:
Pair-Connectedness Function, I / 4.2.2:
Spreading Profile at Criticality / 4.2.3:
Clusters Generated from a Single Seed / 4.2.4:
Properties of Clusters in the Absorbing Phase / 4.2.5:
Pair-Connectedness Function, II / 4.2.6:
Response Function / 4.2.7:
Early-Time Behaviour and Critical Initial Slip / 4.2.8:
Fractal Initial Conditions / 4.2.9:
Influence of an External Field / 4.2.10:
Universality of Finite-Size Amplitudes / 4.2.11:
Methods of Analysis / 4.3:
Exact Diagonalisation / 4.3.1:
Yang-Lee and Fisher Zeros / 4.3.2:
Series Expansion / 4.3.3:
Field-Theoretical Methods / 4.3.4:
Methods for Exact Solution / 4.3.5:
Monte Carlo Simulations / 4.3.6:
Universal Moment Ratios / 4.3.7:
Density-Matrix Renormalisation-Group Methods / 4.3.8:
Other Critical Properties / 4.4:
Surface Critical Behaviour / 4.4.1:
Persistence Exponents / 4.4.2:
Universality Classes Different from Directed Percolation / 5:
Parity-Conserving Universality Class / 5.1:
Voter Universality Class / 5.2:
The Classical Voter Model / 5.2.1:
Voter-Type Phase Transitions / 5.2.2:
Compact Directed Percolation / 5.3:
Tricritical Directed Percolation / 5.4:
Mean-Field Approximation of TDP / 5.4.1:
Numerical Simulations of TDP / 5.4.2:
Dynamical Percolation / 5.5:
Long-Range Interactions / 5.6:
DP with Spatial Lévy Flights / 5.6.1:
DP with Temporal Long-Range Interactions / 5.6.2:
Other Models with Long-Range Interactions by Levy Flights / 5.6.3:
Simulating Models with Long-Range Interactions / 5.6.4:
Manna Universality Class / 5.7:
Manna Model / 5.7.1:
Conserved Threshold Transfer Process (CTTP) / 5.7.2:
Conserved Lattice Gas (CLG) and Other Reaction-Diffusion Processes / 5.7.3:
Scaling Properties / 5.7.4:
Relationship Between Absorbing Phase Transitions and Self-Organised Criticality (SOC) / 5.7.5:
Absorbing Phase Transitions and SOC: Mean-Field Approximation / 5.7.6:
Relating Critical Exponents of SOC and Absorbing Phase Transitions / 5.7.7:
Pair-Contact Process with Diffusion / 5.8:
First-Order Phase Transitions / 5.9:
Stabilisation by Elimination of Minority Islands / 5.9.1:
First-Order Transitions in One Spatial Dimension / 5.9.2:
Impossibility of Discontinuous Phase Transitions in Fluctuating One-Dimensional Systems / 5.9.3:
Phase Coexistence and Hysteresis Cycles / 5.9.4:
Crossover Phenomena / 5.10:
Crossover from DP to TDP / 5.10.1:
Crossover from DP to CDP / 5.10.2:
Crossover to Mean-Field Scaling Behaviour / 5.10.3:
Quenched Disorder / 5.11:
Temporally Quenched Disorder / 5.11.1:
Spatially Quenched Disorder / 5.11.2:
Attempts of Classification / 5.12:
Some Open Questions / 5.13:
Appendices
Equilibrium Models / A:
Potts Model / A.1:
Clock Model / A.2:
Turban Model / A.3:
Baxter-Wu Model / A.4:
Blume-Capel Model / A.5:
XY Model / A.6:
O(n) Model / A.7:
Double Exchange Model / A.8:
Frustrated Spin Models / A.9:
Hilhorst-van Leeuven Model / A.10:
Scaling Laws for Absorbing Phase Transitions / B:
Diagonalisation of Time-Evolution Operators / C:
Langevin Equations and Path Integrals / D:
Mean-Field Approximations / E:
Simple Mean-Field/Site Approximation / E.1:
Pair-Approximation / E.2:
The 'Hop-Away' Mean-Field Approximation / E.3:
Finite-Size Scaling Techniques / F:
Sequences of Finite-Size Estimates / F.1:
Sequence Extrapolation / F.2:
Numerical Methods / G:
Simulational Techniques / G.1:
Computation of Response Functions / G.2:
Fractal Dimensions / H:
Solutions
Frequently Used Symbols
Abbreviations
References
List of tables
List of figures
Index
Introduction / 1:
Problems
Survey of Equilibrium Critical Phenomena / 2:
8.

図書

図書
Pierre Anglès
出版情報: Boston : Birkhäuser, c2008  xxvii, 283 p. ; 25 cm
シリーズ名: Progress in mathematical physics / editors-in-chief, Anne Boutet de Monvel, Gerald Kaiser ; v. 50
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Foreword / Jaime Keller
Preface / Jose Berlin
Overview
Classic Groups: Clifford Algebras, Projective Quadrics, and Spin Groups / 1:
Classical Groups / 1.1:
General Linear Groups / 1.1.1:
Symplectic Groups: Classical Results / 1.1.2:
Classical Algebraic Results / 1.1.3:
Classic Groups over Noncommutative Fields / 1.1.4:
Clifford Algebras / 1.2:
Elementary Properties of Quaternion Algebras / 1.2.1:
Involutions of Algebras / 1.2.2:
Classical Definitions / 1.3.1:
T-Symmetric and T-Skew Quantities / 1.3.2:
Involutions over G of a Simple Algebra / 1.3.3:
Clifford Algebras for Standard Pseudo-Euclidean Spaces E[subscript r,s] and Real Projective Associated Quadrics / 1.4:
Clifford Algebras C[subscript r,s] and [Characters not reproducible]: A Review of Standard Definitions / 1.4.1:
Classification of Clifford Algebras C[subscript r,s] and C[Characters not reproducible] / 1.4.2:
Real Projective Quadrics Q(E[subscript r,s]) / 1.4.3:
Pseudoquaternionic Structures on the Space S of Spinors for [Characters not reproducible] m = 2k + 1, r - s [congruent with] [plus or minus] (mod 8). Embedding of Corresponding Spin Groups SpinE[subscript r,s] and Real Projective Quadrics Q(E[subscript r,s]) / 1.5:
Quaternionic Structures on Right Vector Spaces over H / 1.5.1:
Invariant Scalar Products on Spaces S of Spinors / 1.5.2:
Involutions on the Real Algebra L[subscript H] (S) where S is a Quaternionic Right Vector Space on H, with dim[subscript H]S = n / 1.5.3:
Quaternionic Structures on the Space S of Spinors for [Characters not reproducible] r + s = m = 2k + l, r - s [congruent with] [plus or minus]3 (mod 8) / 1.5.4:
Embedding of Projective Quadrics / 1.5.5:
Real Structures on the Space S of Spinors for [Characters not reproducible] m = 2k + 1, r - s [congruent with] [plus or minus]1 (mod 8). Embedding of Corresponding Spin Groups and Associated Real Projective Quadrics / 1.6:
Involutions of the Real Algebra [pound subscript R] (S) where S is a Real Space over R of Even Dimension / 1.6.1:
Real Symplectic or Pseudo-Euclidean Structures on the Space S of Spinors for [Characters not reproducible] m = r + s = 2k + 1, r - s ][Characters not reproducible] [congruent with] [plus or minus]1 (mod 8) / 1.6.2:
Embedding of Corresponding Projective Quadrics / 1.6.3:
Study of the Cases r - s [congruent with] 0 (mod 8) and r - s [congruent with] 4 (mod 8) / 1.7:
Study of the Case r - s = 0 (mod 8) / 1.7.1:
Study of the Case r - s = 4 (mod 8) / 1.7.2:
Study of the Case r - s [congruent with] [plus or minus]2 (mod 8) / 1.8:
Involutions on A = [pound]c(S), where S is a Complex Vector Space of Dimension n / 1.8.1:
Associated Form with an Involution [alpha] of A = [pound]c(S) / 1.8.2:
Pseudo-Hermitian Structures on the Spaces of Spinors S for [Characters not reproducible] (r - s ][Characters not reproducible] [congruent with] [plus or minus] 2 (mod 8)) / 1.8.3:
Embedding of the Corresponding Projective Quadric Q (E[subscript r,s]) / 1.8.4:
Concluding Remarks / 1.8.5:
Appendix / 1.9:
Exercises / 1.10:
Bibliography / 1.11:
Real Conformal Spin Structures / 2:
Some Historical Remarks / 2.1:
Mobius Geometry / 2.2:
Mobius Geometry: A Summary of Classical Results / 2.2.1:
Standard Classical Conformal Plane Geometry / 2.3:
Construction of Covering Groups for the Conformal Group C[subscript n](p, q) of a Standard Pseudo-Euclidean Space E[subscript n](p, q) / 2.4:
Conformal Compactification of Standard Pseudo-Euclidean Spaces E[subscript n](p, q) / 2.4.1:
Covering Groups of Conf(E[subscript n] (p, q)) = C[subscript n](p, q) / 2.4.2:
Covering groups of the complex conformal group C[subscript n] / 2.4.3:
Real Conformal Spinoriality Groups and Flat Real Conformal Geometry / 2.5:
Conformal Spinoriality Groups / 2.5.1:
Flat Conformal Spin Structures in Even Dimension / 2.5.2:
Case n = 2r + l, r [greater than] 1 / 2.5.3:
Real Conformal Spin Structures on Manifolds / 2.6:
Definitions / 2.6.1:
Manifolds of Even Dimension Admitting a Real Conformal Spin Structure in a Strict Sense / 2.6.2:
Necessary Conditions for the Existence of a Real Conformal Spin Structure in a Strict Sense on Manifolds of Even Dimension / 2.6.3:
Sufficient Conditions for the Existence of Real Conformal Spin Structures in a Strict Sense on Manifolds of Even Dimension / 2.6.4:
Manifolds of Even Dimension with a Real Conformal Spin Structure in a Broad Sense / 2.6.5:
Manifolds of Odd Dimension Admitting a Conformal Spin Special Structure / 2.6.6:
Links between Spin Structures and Conformal Spin Structures / 2.7:
First Links / 2.7.1:
Other Links / 2.7.2:
Connections: A Review of General Results / 2.8:
General Definitions / 2.8.1:
Parallelism / 2.8.2:
Curvature Form and Structure Equation / 2.8.3:
Extensions and Restrictions of Connections / 2.8.4:
Cartan Connections / 2.8.5:
Soudures (Solderings) / 2.8.6:
Ehresmann Connections / 2.8.7:
Ehresmann Connection in a Differentiable Bundle with Structure Group G, a Lie Group / 2.8.8:
Conformal Ehresmann and Conformal Cartan Connections / 2.9:
Conformal Ehresmann Connections / 2.9.1:
Cartan Conformal Connections / 2.9.2:
Conformal Geodesics / 2.10:
Cross Sections and Moving Frames: A Review of Previous Results / 2.10.1:
Conformal Moving Frames / 2.10.2:
The Theory of Yano / 2.10.3:
Conformal Normal Frames Associated with a Curve / 2.10.4:
Conformal Geodesies / 2.10.5:
Generalized Conformal Connections / 2.11:
Conformal Development / 2.11.1:
Vahlen Matrices / 2.11.2:
Historical Background / 2.12.1:
Study of Classical Mobius Transformations of R[superscript n] / 2.12.2:
Study of the Anti-Euclidean Case E[subscript n]-1 (0, n - 1) / 2.12.3:
Study of Indefinite Quadratic Spaces / 2.12.4:
Pseudounitary Conformal Spin Structures / 2.13:
Pseudounitary Conformal Structures / 3.1:
Introduction / 3.1.1:
Algebraic Characterization / 3.1.2:
Some remarks about the Standard Group U(p, q) / 3.1.3:
An Algebraic Recall / 3.1.4:
Connectedness / 3.1.5:
Projective Quadric Associated with a Pseudo-Hermitian Standard Space H[subscript p,q] / 3.1.6:
Conformal Compactification of Pseudo-Hermitian Standard Spaces H[subscript p,q], p + q = n / 3.3:
Pseudounitary Conformal Groups of Pseudo-Hermitian Standard Spaces H[subscript p,q] / 3.3.1:
Translations of E / 3.4.2:
Dilatations of E and the Pseudounitary Group Sim U(p, q) / 3.4.3:
The Real Conformal Symplectic Group and the Pseudounitary Conformal Group / 3.4.4:
Definition of the Real Conformal Symplectic Group / 3.5.1:
Topology of the Projective Quadrics H[subscript p,q] / 3.6:
Topological Properties / 3.6.1:
Generators of the Projective Quadrics H[subscript p,q] / 3.6.2:
Clifford Algebras and Clifford Groups of Standard Pseudo-Hermitian Spaces H[subscript p,q] / 3.7:
Fundamental Algebraic Properties / 3.7.1:
Definition of the Clifford Algebra Associated with H [subscript p,q] / 3.7.2:
Definition 2 of the Clifford Algebra Associated with H [subscript p, q] / 3.7.3:
Clifford Groups and Covering Groups of U (p, q) / 3.7.4:
Fundamental Diagram Associated with RU (p, q) / 3.7.5:
Characterization of U(p, q) / 3.7.6:
Associated Spinors / 3.7.7:
Natural Embeddings of the Projective Quadrics H[subscript p,q] / 3.8:
Covering Groups of the Conformal Pseudounitary Group / 3.9:
A Review of Previous Results / 3.9.1:
Algebraic Construction of Covering Groups PU(F) / 3.9.2:
Conformal Flat Geometry (n = p + q = 2r) / 3.9.3:
Pseudounitary Flat Spin Structures and Pseudounitary Conformal Flat Spin Structures / 3.9.4:
Study of the Case n = p + q = 2r + 1 / 3.9.5:
Pseudounitary Spinoriality Groups and Pseudounitary Conformal Spinoriality Groups / 3.10:
Classical Spinoriality Groups / 3.10.1:
Pseudounitary Spinoriality Groups / 3.10.2:
Pseudounitary Conformal Spinoriality Groups / 3.10.3:
Pseudounitary Spin Structures on a Complex Vector Bundle / 3.11:
Review of Complex Pseudo-Hermitian Vector Bundles / 3.11.1:
Obstructions to the Existence of Spin Structures / 3.11.2:
Definition of the Fundamental Pseudounitary Bundle / 3.11.4:
Pseudonitary Spin Structures and Pseudounitary Conformal Spin Structures on an Almost Complex 2n-Dimensional Manifold V / 3.12:
Pseudounitary Spin Structures / 3.12.1:
Necessary Conditions for the Existence of a Pseudonitary Spin Structure in a Strict Sense on V / 3.12.2:
Sufficient Conditions for the Existence of a Pseudounitary Spin Structure in a Strict Sense on V / 3.12.3:
Manifolds V With a Pseudounitary Spin Structure in a Broad Sense / 3.12.4:
Links between Pseudounitary Spin Structures and Pseudounitary Conformal Spin Structures / 3.12.5:
A Review of Algebraic Topology / 3.12.7:
Complex Operators and Complex Structures Pseudo-Adapted to a Symplectic Form / 3.13.2:
Some Comments about Spinoriality Groups / 3.13.3:
Index / 3.14:
Foreword / Jaime Keller
Preface / Jose Berlin
Overview
9.

図書

図書
Arvind Raghavan, Nuttapong Srirattana, Joy Laskar
出版情報: [Piscataway, N.J.] : IEEE Press , Hoboken, N.J. : Wiley, c2008  xi, 206 p. ; 24 cm
シリーズ名: A Wiley-Interscience publication
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Preface
Introduction / 1:
Semiconductor Technology and RF Power Amplifier Design / 1.1:
Device Modeling / 1.2:
Power Amplifier IC Design / 1.3:
Power Amplifier Linearity / 1.4:
Modulation Schemes / 1.5:
Circuit Simulation / 1.6:
Load-Pull Measurements / 1.7:
References
Device Modeling for CAD / 2:
Bipolar Junction and Heterojunction Bipolar Transistors / 2.1:
Bipolar Device Models / 2.3:
The Ebers-Moll Model / 2.3.1:
The Gummel-Poon Model / 2.3.2:
The VBIC Model / 2.3.3:
MEXTRAM / 2.3.4:
HICUM / 2.3.5:
MOSFET Device Physics / 2.4:
MOSFET Device Models / 2.5:
The Level 1 Model / 2.5.1:
The Level 2 and Level 3 Models / 2.5.2:
BSIM / 2.5.3:
The BSIM2 and HSPICE Level 28 Models / 2.5.4:
BSIM3 / 2.5.5:
MOS Model 9 and MOS Model 11 / 2.5.6:
BSIM4 / 2.5.7:
Empirical Modeling of Bipolar Devices / 3:
Modeling the HBT versus the BJT / 3.1:
Parameter Extraction / 3.1.2:
Motivation for an Empirical Bipolar Device Model / 3.1.3:
Physics-Based and Empirical Models / 3.1.4:
Compatibility between Large- and Small-Signal Models / 3.1.5:
Model Construction and Parameter Extraction / 3.2:
Current Source Model / 3.2.1:
Current Source Model Parameter Extraction / 3.2.2:
Extraction of Intrinsic Capacitances / 3.2.3:
Extraction of Base Resistance / 3.2.4:
Parameter Extraction Procedure / 3.2.5:
Temperature-Dependent InGaP/GaAs HBT Large-Signal Model / 3.3:
Empirical Si BJT Large-Signal Model / 3.4:
Extension of the Empirical Modeling Method to the SiGe HBT / 3.5:
Summary / 3.6:
Scalable Modeling of RF Mosfets / 4:
NQS Effects / 4.1:
Distributed Gate Resistance / 4.1.2:
Distributed Substrate Resistance / 4.1.3:
Scalable Modified BSIM3v3 Model / 4.2:
Scalability of MOSFET Model / 4.2.1:
Extraction of Small-Signal Model Parameters / 4.2.2:
Scalable Substrate Network Modeling / 4.2.3:
Modified BSIM3v3 Model / 4.2.4:
Power Amplifier Design Methodology / 4.3:
Classes of Operation / 5.3:
Performance Metrics / 5.4:
Thermal Instability and Ballasting / 5.5:
Power Amplifier Design in Silicon / 6:
A 2.4-GHz High-Efficiency SiGe HBT Power Amplifier / 6.1:
Circuit Design Considerations / 6.2.1:
Analysis of Ballasting for SiGe HBT Power Amplifiers / 6.2.2:
Harmonic Suppression Filter and Output Match Network / 6.2.3:
Performance of the Power Amplifier Module / 6.2.4:
RF Power Amplifier Design Using Device Periphery Adjustment / 6.3:
Analysis of the Device Periphery Adjustment Technique / 6.3.1:
1.9-GHz CMOS Power Amplifier / 6.3.2:
1.9-GHz CDMA/PCS SiGe HBT Power Amplifier / 6.3.3:
Nonlinear Term Cancellation for Linearity Improvement / 6.3.4:
Efficiency Enhancement of RF Power Amplifiers / 7:
Efficiency Enhancement Techniques / 7.1:
Envelope Elimination and Restoration / 7.2.1:
Bias Adaptation / 7.2.2:
The Doherty Amplifier Technique / 7.2.3:
Chireix's Outphasing Amplifier Technique / 7.2.4:
The Classical Doherty Amplifier / 7.3:
The Multistage Doherty Amplifier / 7.4:
Principle of Operation / 7.4.1:
Analysis of Efficiency / 7.4.2:
Practical Considerations / 7.4.3:
Measurement Results / 7.4.4:
Index
Preface
Introduction / 1:
Semiconductor Technology and RF Power Amplifier Design / 1.1:
10.

図書

図書
Valery V. Afanas'ev
出版情報: Amsterdam ; Tokyo : Elsevier, 2008  xvi, 295 p. ; 26 cm
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Preface
List of Abbreviations
List of Symbols
Preliminary Remarks and Historical Overview / 1:
General Concept of IPE / 1.1:
IPE and Materials Analysis Issues / 1.2:
Interfaces of Wide Bandgap Insulators / 1.3:
Metal-Semiconductor Barriers / 1.4:
Energy Barriers at Semiconductor Heterojunctions / 1.5:
Energy Barriers at Interfaces of Organic Solids and Molecular Layers / 1.6:
Energy Barriers at Interfaces of Solids with Electrolytes / 1.7:
Internal versus External Photoemission / 2:
Common Steps in Internal and External Photoemission / 2.1:
Optical excitation / 2.1.1:
Transport of excited electron to the surface of emitter / 2.1.2:
Escape from emitter: the Fowler model / 2.1.3:
IPE-Specific Features / 2.2:
Effects of the collector DOS / 2.2.1:
Effects associated with occupied electron states in the collector / 2.2.2:
Interface barrier shape / 2.2.3:
Electron scattering in the image-force potential well / 2.2.4:
Effects of fixed charge in the collector / 2.2.5:
Collector transport effects / 2.2.6:
Model Description and Experimental Realization of IPE / 3:
The Quantum Yield / 3.1:
Quantum Yield as a Function of Photon Energy / 3.2:
Quantum Yield as a Function of Electric Field / 3.3:
Conditions of IPE Observation / 3.4:
Injection-limited versus transport-limited current / 3.4.1:
Thermoionic emission versus photoemission / 3.4.2:
Photocurrents related to light-induced redistribution of electric field / 3.4.3:
Experimental Approaches to IPE / 3.5:
IPE sample design / 3.5.1:
Optical input designs / 3.5.2:
IPE signal detection / 3.5.3:
Internal Photoemission Spectroscopy Methods / 4:
IPE Threshold Spectroscopy / 4.1:
Contributions of different bands to IPE / 4.1.1:
The Schottky plot analysis / 4.1.2:
Separation of different contributions to photocurrent / 4.1.3:
IPE Yield Spectroscopy / 4.2:
Mechanism of the yield modulation / 4.2.1:
Application of the IPE yield modulation to Si surface monitoring / 4.2.2:
Model for the optically induced yield modulation / 4.2.3:
Spectroscopy of Carrier Scattering / 4.3:
Scattering in emitter / 4.3.1:
Scattering in collector / 4.3.2:
PC and PI Spectroscopy / 4.4:
Intrinsic PC of collector / 4.4.1:
Spectroscopy of PI / 4.4.2:
PI of near-interface states in collector: the pseudo-IPE transitions / 4.4.3:
Injection Spectroscopy of Thin Layers of Solids: Internal Photoemission as Compared to Other Injection Methods / 5:
Basic Approaches in the Injection Spectroscopy / 5.1:
Charge Injection Using IPE / 5.2:
Carrier Injection by Tunnelling / 5.3:
Excitation of Carriers in Emitter Using Electric Field / 5.4:
Electron-Hole Plasma Generation in Collector / 5.5:
What Charge Injection Technique to Choose? / 5.6:
Trapped Charge Monitoring and Characterization / 6:
Injection Current Monitoring / 6.1:
Semiconductor Field-Effect Techniques / 6.2:
Charge Probing by Electron IPE / 6.3:
Charge Probing Using Trap Depopulation / 6.4:
Charge Probing Using Neutralization (Annihilation) / 6.5:
Monitoring the Injection-Induced Liberation of Hydrogen / 6.6:
Charge Trapping Kinetics in the Injection-Limited Current Regime / 7:
Necessity of the Injection-Limited Current Regime / 7.1:
First-Order Trapping Kinetics: Single Trap Model / 7.2:
First-Order Trapping Kinetics: Multiple Trap Model / 7.3:
Effects of Detrapping / 7.4:
Carrier Recombination Effects / 7.5:
Trap Generation During Injection / 7.6:
Trapping Analysis in Practice / 7.7:
Transport Effects in Charge Trapping / 8:
Strong Carrier Trapping Regime / 8.1:
Carrier Trapping Near the Injecting Interface / 8.2:
Inhibition of Trapping by Coulomb Repulsion / 8.3:
Carrier Redistribution by Coulomb Repulsion / 8.4:
Injection Blockage and Transition to Space-Charge-Limited Current / 8.5:
Semiconductor-Insulator Interface Barriers / 9:
Electron States at the Si/SiO[subscript 2] Interface / 9.1:
Si/SiO[subscript 2] band alignment / 9.1.1:
Si/SiO[subscript 2] interface dipoles / 9.1.2:
Si/SiO[subscript 2] barrier modification by trapped charges / 9.1.3:
Trapped ions at Si/SiO[subscript 2] interface / 9.1.4:
High-Permittivity Insulators and Associated Issues / 9.2:
Application of high-permittivity insulators / 9.2.1:
Bandgap width in deposited oxide layers / 9.2.2:
Band Alignment at Interfaces of Silicon with High-Permittivity Insulators / 9.3:
Band alignment at interfaces of Si with elemental metal oxides / 9.3.1:
Interfaces of Si with complex metal oxides / 9.3.2:
Interfaces of Si with non-oxide insulators / 9.3.3:
Band Alignment between Other Semiconductors and Insulating Films / 9.4:
Ge/high-permittivity oxide interfaces / 9.4.1:
GaAs/insulator interfaces / 9.4.2:
SiC/insulator interfaces / 9.4.3:
Contributions to the Semiconductor-Insulator Interface Barriers / 9.5:
Electron Energy Barriers between Conducting and Insulating Materials / 10:
Interface Barriers between Elemental Metals and Oxide Insulators / 10.1:
Metal-SiO[subscript 2] interfaces / 10.1.1:
Interfaces of elemental metals with high-permittivity oxides / 10.1.2:
Polycrystalline Si/Oxide Interfaces / 10.2:
Complex Metal Electrodes on Insulators / 10.3:
Modification of the Conductor/Insulator Barriers / 10.4:
Spectroscopy of Charge Traps in Thin Insulating SiO[subscript 2] Layers / 11:
Trap Classification through Capture Cross-Section / 11.1:
Electron Traps in SiO[subscript 2] / 11.2:
Attractive Coulomb traps / 11.2.1:
Neutral electron traps in SiO[subscript 2] / 11.2.2:
Repulsive electron traps in SiO[subscript 2] / 11.2.3:
Hole Traps in SiO[subscript 2] / 11.3:
Attractive Coulomb hole traps / 11.3.1:
Neutral hole traps in SiO[subscript 2] / 11.3.2:
Proton Trapping in SiO[subscript 2] / 11.4:
Conclusions / 12:
References
Index
Preface
List of Abbreviations
List of Symbols
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