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1.

図書

図書
V. Kaimanovich, A. Lodkin, editors
出版情報: Providence, R.I. : American Mathematical Society, c2006  ix, 246 p. ; 26 cm
シリーズ名: American Mathematical Society translations ; ser.2,vol.217 . Advances in the mathematical sciences (formerly Advances in Soviet mathematics) ; 58
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目次情報: 続きを見る
Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams / V. Arnold
Stochastic dynamics related to Plancherel measure on partitions / A. Borodin ; G. Olshanski
A condition for continuous spectrum of an interval exchange transformation / A. Bufetov ; Y. G. Sinai ; C. Ulcigrai
Several nonstandard remarks / I. Fesenko
The interface between probability theory and additive number theory (local limit theorems and structure theory of set addition) / G. A. Freiman ; A. A. Yudin
Plancherel measure on shifted Young diagrams / V. Ivanov
Results and problems in enveloping algebras arising from quantum groups / A. Joseph
Asymptotic behaviour in the time synchronization model / V. Malyshev ; A. Manita
Stable densities and operators of fractional differentiation / Y. A. Neretin
Skew products and Livsic theory / W. Parry ; M. Pollicott
Distribution of ergodic sums for hyperbolic maps / R. Sharp
Transverse properties of dynamical systems / J. Renault
Minimal one-sided Markov shifts and their cofiltrations / B.-Z. Rubshtein
Quotients of $\ell^{\infty}(\mathbb{Z},\mathbb{Z})$ and symbolic covers of toral automorphisms / K. Schmidt
Statistics of the symmetric group representations as a natural science question on asymptotics of Young diagrams / V. Arnold
Stochastic dynamics related to Plancherel measure on partitions / A. Borodin ; G. Olshanski
A condition for continuous spectrum of an interval exchange transformation / A. Bufetov ; Y. G. Sinai ; C. Ulcigrai
2.

図書

図書
Maurice Mashaal ; translated by Anna Pierrehumbert
出版情報: Providence, RI : American Mathematical Society, 2006  168 p. ; 25 cm
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3.

図書

図書
Andrew Knightly, Charles Li
出版情報: Providence, RI : American Mathematical Society, c2006  ix, 378 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 133
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Traces of Hecke operators Odds and ends
Groundwork The trace formula
Computation of the trace Applications
Bibliography
Tables of notation Statement of the final result
Index
Traces of Hecke operators Odds and ends
Groundwork The trace formula
Computation of the trace Applications
4.

図書

図書
J.P. May, J. Sigurdsson
出版情報: Providence, R.I. : American Mathematical Society, 2006  ix, 441 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 132
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Prologue Point-set topology, change functors, and proper actions
Introduction to Part I
The point-set topology of parametrized spaces
Change functors and compatibility relations
Proper actions, equivariant bundles and fibrations
Model categories and parametrized spaces
Introduction to Part II
Topologically bicomplete model categories
Well-grounded topological model categories
The $qf$-model structure on $\mathcal{K}_B$
Equivariant $qf$-type model structures
Ex-fibrations and ex-quasifibrations
The equivalence between Ho$G\mathcal{K}_B$ and $hG\mathcal{W}_B$
Parametrized equivariant stable homotopy theory
Introduction to Part III
Enriched categories and $G$-categories
The category of orthogonal $G$-spectra over $B$
Model structures for parametrized $G$-spectra
Adjunctions and compatibility relations
Module categories, change of universe, and change of groups
Parametrized duality theory
Introduction to Part IV
Fiberwise duality and transfer maps
Closed symmetric bicategories
The closed symmetric bicategory of parametrized spectra
Costenoble-Waner duality
Fiberwise Costenoble-Waner duality
Homology and cohomology, Thom spectra, and addenda
Introduction to Part V
Parametrized homology and cohomology theories
Equivariant parametrized homology and cohomology
Twisted theories and spectral sequences
Parametrized FSP's and generalized
Thom spectra Epilogue: Cellular philosophy and alternative approaches
Bibliography Index
Index of notation
Prologue Point-set topology, change functors, and proper actions
Introduction to Part I
The point-set topology of parametrized spaces
5.

図書

図書
Vladimir Pestov
出版情報: Providence, RI. : American Mathematical Society, c2006  vii, 192 p. ; 25 cm
シリーズ名: University lecture series ; v. 40
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Introduction
The Ramsey-Dvoretzky-Milman phenomenon
The fixed point on compacta property
The concentration property Levy groups
Urysohn metric space and its group of isometries
Minimal flows Further aspects of concentration
Oscillation stability and distortion
Bibliography
Index
Introduction
The Ramsey-Dvoretzky-Milman phenomenon
The fixed point on compacta property
6.

雑誌

雑誌
出版情報: Basel : Birkhäuser . c2006-  v. ; 24 cm
巻次年月次: Vol. 49, no. 1/2 (2006)-
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7.

雑誌

雑誌
出版情報: [S.l.] : Talor & Francis, 2006-
巻次年月次: Vol. 51, no. 1 (Jan. 2006)-
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8.

図書

図書
Djukić, Dušan ; Janković, Vladimir ; Matić, Ivan ; Petrović, Nikola
出版情報: New York : Springer, c2006  xiv, 740 p. ; 25 cm
シリーズ名: Problem books in mathematics / edited by K. Bencsáth and P.R. Halmos
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目次情報: 続きを見る
Preface
Introduction / 1:
The International Mathematical Olympiad / 1.1:
The IMO Compendium / 1.2:
Basic Concepts and Facts / 2:
Algebra / 2.1:
Polynomials / 2.1.1:
Recurrence Relations / 2.1.2:
Inequalities / 2.1.3:
Groups and Fields / 2.1.4:
Analysis / 2.2:
Geometry / 2.3:
Triangle Geometry / 2.3.1:
Vectors in Geometry / 2.3.2:
Barycenters / 2.3.3:
Quadrilaterals / 2.3.4:
Circle Geometry / 2.3.5:
Inversion / 2.3.6:
Geometric Inequalities / 2.3.7:
Trigonometry / 2.3.8:
Formulas in Geometry / 2.3.9:
Number Theory / 2.4:
Divisibility and Congruences / 2.4.1:
Exponential Congruences / 2.4.2:
Quadratic Diophantine Equations / 2.4.3:
Farey Sequences / 2.4.4:
Combinatorics / 2.5:
Counting of Objects / 2.5.1:
Graph Theory / 2.5.2:
Problems / 3:
IMO 1959 / 3.1:
Contest Problems / 3.1.1:
IMO 1960 / 3.2:
IMO 1961 / 3.2.1:
IMO 1962 / 3.3.1:
IMO 1963 / 3.4.1:
IMO 1964 / 3.5.1:
IMO 1965 / 3.6.1:
IMO 1966 / 3.7.1:
Some Longlisted Problems 1959-1966 / 3.8.1:
IMO 1967 / 3.9:
Longlisted Problems / 3.9.1:
IMO 1968 / 3.10:
Shortlisted Problems / 3.10.1:
IMO 1969 / 3.11:
IMO 1970 / 3.11.1:
IMO 1971 / 3.12.1:
IMO 1972 / 3.13.1:
IMO 1973 / 3.14.1:
IMO 1974 / 3.15.1:
IMO 1975 / 3.16.1:
IMO 1976 / 3.17.1:
IMO 1977 / 3.18.1:
IMO 1978 / 3.19.1:
IMO 1979 / 3.20.1:
IMO 1981 / 3.21.1:
IMO 1982 / 3.22.1:
IMO 1983 / 3.23.1:
IMO 1984 / 3.24.1:
IMO 1985 / 3.25.1:
IMO 1986 / 3.26.1:
IMO 1987 / 3.27.1:
IMO 1988 / 3.28.1:
IMO 1989 / 3.29.1:
IMO 1990 / 3.30.1:
IMO 1991 / 3.31.1:
IMO 1992 / 3.32.1:
IMO 1993 / 3.33.1:
IMO 1994 / 3.34.1:
IMO 1995 / 3.35.1:
IMO 1996 / 3.36.1:
IMO 1997 / 3.37.1:
IMO 1998 / 3.38.1:
IMO 1999 / 3.39.1:
IMO 2000 / 3.40.1:
IMO 2001 / 3.41.1:
IMO 2002 / 3.42.1:
IMO 2003 / 3.43.1:
IMO 2004 / 3.44.1:
Solutions / 3.45.1:
Contest Problems 1959 / 4.1:
Contest Problems 1960 / 4.2:
Contest Problems 1961 / 4.3:
Contest Problems 1962 / 4.4:
Contest Problems 1963 / 4.5:
Contest Problems 1964 / 4.6:
Contest Problems 1965 / 4.7:
Contest Problems 1966 / 4.8:
Longlisted Problems 1967 / 4.9:
Shortlisted Problems 1968 / 4.10:
Contest Problems 1969 / 4.11:
Shortlisted Problems 1970 / 4.12:
Shortlisted Problems 1971 / 4.13:
Shortlisted Problems 1972 / 4.14:
Shortlisted Problems 1973 / 4.15:
Shortlisted Problems 1974 / 4.16:
Shortlisted Problems 1975 / 4.17:
Shortlisted Problems 1976 / 4.18:
Longlisted Problems 1977 / 4.19:
Shortlisted Problems 1978 / 4.20:
Shortlisted Problems 1979 / 4.21:
Shortlisted Problems 1981 / 4.22:
Shortlisted Problems 1982 / 4.23:
Shortlisted Problems 1983 / 4.24:
Shortlisted Problems 1984 / 4.25:
Shortlisted Problems 1985 / 4.26:
Shortlisted Problems 1986 / 4.27:
Shortlisted Problems 1987 / 4.28:
Shortlisted Problems 1988 / 4.29:
Shortlisted Problems 1989 / 4.30:
Shortlisted Problems 1990 / 4.31:
Shortlisted Problems 1991 / 4.32:
Shortlisted Problems 1992 / 4.33:
Shortlisted Problems 1993 / 4.34:
Shortlisted Problems 1994 / 4.35:
Shortlisted Problems 1996 / 4.36:
Shortlisted Problems 1997 / 4.38:
Shortlisted Problems 1998 / 4.39:
Shortlisted Problems 1999 / 4.40:
Shortlisted Problems 2000 / 4.41:
Shortlisted Problems 2001 / 4.42:
Shortlisted Problems 2002 / 4.43:
Shortlisted Problems 2003 / 4.44:
Shortlisted Problems 2004 / 4.45:
Notation and Abbreviations / A:
Notation / A.1:
Abbreviations / A.2:
Codes of the Countries of Origin / B:
References
Preface
Introduction / 1:
The International Mathematical Olympiad / 1.1:
9.

電子ブック

EB
edited by Andrei K. Yudin
出版情報: Wiley Online Library Online Books, 2006 , Weinheim : Wiley-VCH, c2006
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目次情報: 続きを見る
Asymmetric Synthesis Of Epoxides And Aziridines From Aldehydes And Imines
Asymmetric Epoxidation of Carbonyl Compounds Asymmetric Aziridination of Imines Vinylaziridines In Organic Synthesis
Direct Synthesis of Vinylaziridines Ring-opening Reactions with Nucleophiles Isomerization Including Rearrangement Cycloaddition Electron Transfer to Vinylaziridines
Asymmetric Syntheses With Aziridinecarboxylate And Aziridinephosphonate Building Blocks
Preparation of Aziridine-2-carboxylates and Aziridine-2-phosphonates Reactions of Aziridine-2-carboxylates and Aziridine-2-phosphonates Applications in Natural Product Syntheses
Synthesis Of Aziridines
Overview and General Features
Metalated Epoxides And Aziridines In Synthesis
Metalated Epoxides Metalated Aziridines
Metal-Catalyzed Synthesis Of Epoxides
Oxidants Available for Selective Transition Metal-catalyzed Epoxidation
Epoxidations of Olefins Catalyzed by Early Transition Metals Chromium
Molybdenum-, and Tungsten-catalyzed Epoxidations
Manganese-catalyzed Epoxidations Rhenium-catalyzed Epoxidations Iron-catalyzed Epoxidations Ruthenium-catalyzed Epoxidations
Catalytic Asymmetric Epoxide Ring-Opening Chemistry
Enantioselective Nucleophilic Addition to Meso-Epoxides
Kinetic Resolution of Racemic Epoxides Enantioselective Rearrangements of Epoxides
Epoxides In Complex Molecule Synthesis
Synthesis of Complex Molecules by Intramolecular Ring-opening of Epoxides with Heteronucleophiles
Synthesis of Complex Molecules by Ring-opening of Epoxides with C-Nucleophiles Epoxy Glycals Synthesis of Complex Molecules by Rearrangement Reactions of Epoxides
Vinylepoxides In Organic Synthesis
Synthesis of Vinylepoxides Transformations of Vinylepoxides
The Biosynthesis Of Epoxides
Cytochrome P450 Monooxygenases Flavin-dependent Epoxidases Dioxygenases Epoxidation through Dehydrogenation Dehalogenases
Aziridine Natural Products
Discovery, Biological Activity And Biosynthesis
Mitomycins and Related Natural Products
The Azinomycins Other Aziridine Natural Products
Epoxides And Aziridines In Click Chemistry
Epoxides in Click Chemistry Aziridines in Click Chemistry
Aziridinium Ions in Click Chemistry
Asymmetric Synthesis Of Epoxides And Aziridines From Aldehydes And Imines
Asymmetric Epoxidation of Carbonyl Compounds Asymmetric Aziridination of Imines Vinylaziridines In Organic Synthesis
Direct Synthesis of Vinylaziridines Ring-opening Reactions with Nucleophiles Isomerization Including Rearrangement Cycloaddition Electron Transfer to Vinylaziridines
10.

電子ブック

EB
Werner Vogel and Dirk-Gunnar Welsch
出版情報: Wiley Online Library Online Books, 2006 , Weinheim : Wiley-VCH, c2006
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目次情報: 続きを見る
Preface
Introduction / 1:
From Einstein's hypothesis to photon anti-bunching / 1.1:
Nonclassical phenorrena / 1.2:
Source-attributed light / 1.3:
Medium-assisted electromagnetic fields / 1.4:
Measurement of light statistics / 1.5:
Determination and preparation of quantum states / 1.6:
Quantized motion of cold atoms / 1.7:
Elements of quantum electrodynamics / 2:
Basic classical equations / 2.1:
The free electromagnetic field / 2.2:
Canonical quantization / 2.2.1:
Monochromatic-mode expansion / 2.2.2:
Nonmonochromatic modes / 2.2.3:
Interaction with charged particles / 2.3:
Minimal coupling / 2.3.1:
Multipolar coupling / 2.3.2:
Dielectric background media / 2.4:
Nondispersing and nonabsorbing media / 2.4.1:
Dispersing and absorbing media / 2.4.2:
Approximate interaction Hamiltonians / 2.5:
The electric-dipole approximation / 2.5.1:
The rotating-wave approximation / 2.5.2:
Effective Hamiltonians / 2.5.3:
Source-quantity representation / 2.6:
Time-dependent commutation relations / 2.7:
Correlation functions of field operators / 2.8:
Quantum states of bosonic systems / 3:
Number states / 3.1:
Statistics of the number states / 3.1.1:
Multi-mode number states / 3.1.2:
Coherent states / 3.2:
Statistics of the coherent states / 3.2.1:
Multi-mode coherent states / 3.2.2:
Displaced number states / 3.2.3:
Squeezed states / 3.3:
Statistics of the squeezed states / 3.3.1:
Multi-mode squeezed states / 3.3.2:
Quadrature eigenstates / 3.4:
Phase states / 3.5:
The eigenvalue problem of V / 3.5.1:
Cosine and sine phase states / 3.5.2:
Bosonic systems in phase space / 4:
The statistical density operator / 4.1:
Phase-space functions / 4.2:
Normal ordering: The P function / 4.2.1:
Anti-normal and symmetric ordering: The Q and the W function / 4.2.2:
Parameterized phase-space functions / 4.2.3:
Operator expansion in phase space / 4.3:
Orthogonalization relations / 4.3.1:
The density operator in phase space / 4.3.2:
Some elementary examples / 4.3.3:
Quantum theory of damping / 5:
Quantum Langevin equations and one-time averages / 5.1:
Hamiltonian / 5.1.1:
Heisenberg equations of motion / 5.1.2:
Born and Markov approximations / 5.1.3:
Quantum Langevin equations / 5.1.4:
Master equations and related equations / 5.2:
Master equations / 5.2.1:
Fokker-Planck equations / 5.2.2:
Damped harmonic oscillator / 5.3:
Langevin equations / 5.3.1:
Radiationless dephasing / 5.3.2:
Damped two-level system / 5.4:
Basic equations / 5.4.1:
Optical Bloch equations / 5.4.2:
Quantum regression theorem / 5.5:
Photoelectric detection of light / 6:
Photoelectric counting / 6.1:
Quantum-mechanical transition probabilities / 6.1.1:
Photoelectric counting probabilities / 6.1.2:
Counting moments and correlations / 6.1.3:
Photoelectric counts and photons / 6.2:
Detection scheme / 6.2.1:
Mode expansion / 6.2.2:
Photon-number statistics / 6.2.3:
Nonperturbative corrections / 6.3:
Spectral detection / 6.4:
Radiation-field modes / 6.4.1:
Input-output relations / 6.4.2:
Spectral correlation functions / 6.4.3:
Homodyne detection / 6.5:
Fields combining through a nonabsorbing beam splitter / 6.5.1:
Fields combining through an absorbing beam splitter / 6.5.2:
Unbalanced four-port homodyning / 6.5.3:
Balanced four-port homodyning / 6.5.4:
Balanced eight-port homodyning / 6.5.5:
Homodyne correlation measurement / 6.5.6:
Normally ordered moments / 6.5.7:
Quantum-state reconstruction / 7:
Optical homodyne tomography / 7.1:
Quantum state and phase-rotated quadratures / 7.1.1:
Wigner function / 7.1.2:
Density matrix in phase-rotated quadrature basis / 7.2:
Density matrix in the number basis / 7.3:
Sampling from quadrature components / 7.3.1:
Reconstruction from displaced number states / 7.3.2:
Local reconstruction of phase-space functions / 7.4:
Canonical phase statistics / 7.5:
Nonclassicality and entanglement of bosonic systems / 8:
Quantum states with classical counterparts / 8.1:
Nonclassical light / 8.2:
Photon anti-bunching / 8.2.1:
Sub-Poissonian light / 8.2.2:
Squeezed light / 8.2.3:
Nonclassical characteristic functions / 8.3:
The Bochner theorem / 8.3.1:
First-order nonclassicality / 8.3.2:
Higher-order nonclassicality / 8.3.3:
Nonclassical moments / 8.4:
Reformulation of the Bochner condition / 8.4.1:
Criteria based on moments / 8.4.2:
Entanglement / 8.5:
Separable and nonseparable quantum states / 8.5.1:
Partial transposition and entanglement criteria / 8.5.2:
Leaky optical cavities / 9:
Solution of the Helmholtz equation / 9.1:
Cavity-response function / 9.1.2:
Internal field / 9.2:
Coarse-grained averaging / 9.3.1:
Nonmonochromatic modes and Langevin equations / 9.3.2:
External field / 9.4:
Commutation relations / 9.4.1:
Field correlation functions / 9.5.1:
Unwanted losses / 9.7:
Quantum-state extraction / 9.8:
Medium-assisted electromagnetic vacuum effects / 10:
Spontaneous emission / 10.1:
Weak atom-field coupling / 10.1.1:
Strong atom-field coupling / 10.1.2:
Vacuum forces / 10.2:
Force on an atom / 10.2.1:
The Casimir force / 10.2.2:
Resonance fluorescence / 11:
Two-level systems / 11.1:
Intensity / 11.2.1:
Intensity correlation and photon anti-bunching / 11.2.2:
Squeezing / 11.2.3:
Spectral properties / 11.2.4:
Multi-level effects / 11.3:
Dark resonances / 11.3.1:
Intermittent fluorescence / 11.3.2:
Vibronic coupling / 11.3.3:
A single atom in a high-Q cavity / 12:
The Jaynes-Cummings model / 12.1:
Electronic-state dynamics / 12.2:
Reduced density matrix / 12.2.1:
Collapse and revival / 12.2.2:
Quantum nature of the revivals / 12.2.3:
Coherent preparation / 12.2.4:
Field dynamics / 12.3:
Photon statistics / 12.3.1:
The Micromaser / 12.4:
Quantum-state preparation / 12.5:
Schrodinger-cat states / 12.5.1:
Einstein-Podolsky-Rosen pairs of atoms / 12.5.2:
Measurements of the cavity field / 12.6:
Quantum state endoscopy / 12.6.1:
QND measurement of the photon number / 12.6.2:
Determining arbitrary quantum states / 12.6.3:
Laser-driven quantized motion of a trapped atom / 13:
Quantized motion of an ion in a Paul trap / 13.1:
Interaction of a moving atom with light / 13.2:
Radio-frequency radiation / 13.2.1:
Optical radiation / 13.2.2:
Dynamics in the resolved sideband regime / 13.3:
Nonlinear Jaynes-Cummings model / 13.3.1:
Decoherence effects / 13.3.2:
Nonlinear motional dynamics / 13.3.3:
Preparing motional quantum states / 13.4:
Sideband laser-cooling / 13.4.1:
Coherent, number and squeezed states / 13.4.2:
Motional dark states / 13.4.3:
Measuring the quantum state / 13.5:
Tomographic methods / 13.5.1:
Local methods / 13.5.2:
Determination of entangled states / 13.5.3:
Appendix
The medium-assisted Green tensor / A:
Basic relations / A.1:
Asymptotic behavior / A.2:
Equal-time commutation relations / B:
Algebra of bosonic operators / C:
Exponential-operator disentangling / C.1:
Normal and anti-normal ordering / C.2:
Sampling function for the density matrix in the number basis / D:
Index
Preface
Introduction / 1:
From Einstein's hypothesis to photon anti-bunching / 1.1:
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