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1.

図書
図書
1. Multidimensional diffusion processes (: gw ; : us)
Daniel W. Stroock, S.R. Srinivasa Varadhan
出版情報: Berlin ; New York : Springer, c1979  xii, 338 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 233
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2.

図書
図書
2. A concise introduction to the theory of integration. 3rd ed (: Boston ; : Basel)
Daniel W. Stroock
出版情報: Boston : Birkhäuser, c1999  xiv, 253 p. ; 27 cm
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3.

図書
図書
3. The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts
David Jerison, I.M. Singer, Daniel W. Stroock, editors
出版情報: Providence, R.I. : American Mathematical Society, c1997  xix, 405 p. ; 27 cm
シリーズ名: Proceedings of symposia in pure mathematics ; v. 60
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目次情報: 続きを見る
Biographical and Historical Remarks: Norbert Weiner / D. Jerison ; D. W. Stroock
The rise and fall of cybernetics in the US and the USSR / P. Elias
Reminiscences of Norbert Wiener / D. Struik
Speech by Fagi Levinson Some memories of Norbert Wiener / P. A. Samuelson
Scientific Articles: Gibbs measures, quasi-periodic solutions and nonlinear partial differential equations / J. Bourgain
Wiener's Tauberian theorem / L. Carleson
The role of Paley-Wiener theory in partial differential equations / L. Ehrenpreis
Paley-Wiener on manifolds / V. Guillemin
Norbert Wiener and the development of mathematical engineering / T. Kailath
Oscillating networks of neurons: Mathematics and function / N. Kopell
Mapping heredity: Using probabilistic models and algorithms to map genes and genomes / E. S. Lander
A non-random walk down Wall Street / A. W. Lo
Filtered Wiener space versus abstract Wiener space / P. Malliavin
Unsolved problems connected with the Wiener criterion / V. Mazya
On the role of the Wiener process in finance theory and practice: The case of replicating portfolios / R. C. Merton
Inference, learning, and recognition / S. K. Mitter
Issues in the mathematical modeling of cortical functioning and thought / D. Mumford
Polymer braids and iterated Moire maps / D. R. Nelson ; R. D. Kamien
Networks that learn and how the brain works / T. Poggio
The risk management revolution / C. S. Sanford ; D. Borge
Complex noncommutative infinite dimensional analysis and Fermion-Boson interactions / I. Segal
Complex integral transforms, diffraction, resonances and phase space tunneling / J. Sjostrand
Scaling, the free field and statistical mechanics / T. Spencer
Weiner-Hopf integral equations / H. Widom
Biographical and Historical Remarks: Norbert Weiner / D. Jerison ; D. W. Stroock
The rise and fall of cybernetics in the US and the USSR / P. Elias
Reminiscences of Norbert Wiener / D. Struik
4.

図書
図書
4. A concise introduction to the theory of integration
Daniel W. Stroock
出版情報: Singapore ; Teaneck, N.J. : World Scientific, c1990  vii, 148 p. ; 23 cm
シリーズ名: Series in pure mathematics ; v. 12
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5.

図書
図書
5. Topics in probability theory : seminar 1971-1972
edited by Daniel W. Stroock and S.R.S. Varadhan
出版情報: [New York] : Courant Institute of Mathematical Sciences, New York University, c1973  iii, 179 p. ; 27 cm
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6.

図書
図書
6. Probability theory, an analytic view
Daniel W. Stroock
出版情報: Cambridge : Cambridge University Press, 1993  xvi, 512 p. ; 26 cm
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目次情報: 続きを見る
Preface
Sums of Independent Random Variables / Chapter I：
Independence / 1.1：
The Weak Law of Large Numbers / 1.2：
Cramer's Theory of Large Deviations / 1.3：
The Strong Law of Large Numbers / 1.4：
Law of the lterated Logarithm / 1.5：
The Central Limit Theorem / Chapter II：
The Theorems of Lindeberg and Berry-Esseen / 2.1：
Some Extensions of The Central Limit Theorem / 2.2：
An Application to Hermite Multipliers / 2.3：
Convergence of Measures, Infinite Divisibility, and Processes with Independent Increments / Chapter III：
Convergence of Probability Measures / 3.1：
Infinitely Divisible Laws / 3.2：
Discontinuous Processes with Independent Increments / 3.3：
Wiener's Measure and the Invariance Principle / 3.4：
A Celebration of Wiener's Measure / Chapter IV：
Preliminary Results / 4.1：
Gaussian Aspects of Wiener's Measure / 4.2：
Markov Aspects of Wiener's Measure / 4.3：
Conditioning and Martingales / Chapter V：
Conditioning / 5.1：
Discrete Parameter Martingales / 5.2：
Some Extensions / 5.3：
Some Applications of Martingale Theory / Chapter VI：
The Individual Ergodic Theorem / 6.1：
Singular Integrals and Square Functions in Analysis / 6.2：
Burkholder's Inequality / 6.3：
Continuous Martingales and Elementary Diffusion Theory / Chapter VII：
Continuous Parameter Martingales / 7.1：
Non-local Properties of Diffusion Paths / 7.2：
Perturbations of Wiener Paths / 7.3：
Elementary Ergodic Theory of Diffusions / 7.4：
Perturbations by Conservative Vector Fields / 7.5：
A Little Classical Potential Theory / Chapter VIII：
The Dirichlet Heat Kernel / 8.1：
Uniqueness and Exiting through Regular Points / 8.2：
The Dirichlet Problem / 8.3：
Poisson's Problem and Green's Functions / 8.4：
Green's Potentials, Riesz Decompositions, and Capacity / 8.5：
Notation
Index
Preface
Sums of Independent Random Variables / Chapter I：
Independence / 1.1：
7.

図書
図書
7. Large deviations
Jean-Dominique Deuschel, Daniel W. Stroock
出版情報: Providence, RI : AMS Chelsea Pub., 2001  xii, 283 p. ; 26 cm
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目次情報: 続きを見る
Some examples Some generalities
General Cramer theory Uniform large deviations
Non-uniform results
Analytic considerations Historical notes and references
Name index
Bibliography
Frequently used notation
Index
Some examples Some generalities
General Cramer theory Uniform large deviations
Non-uniform results
8.

図書
図書
8. An introduction to Markov processes
Daniel W. Stroock
出版情報: Berlin : Springer, c2005  xiv, 171 p. ; 25 cm
シリーズ名: Graduate texts in mathematics ; 230
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目次情報: 続きを見る
Random Walks a Good Place to Begin
Doeblin's Theory for Markov Chains
More about the Ergodic Theory of Markov Chains
Markov Processes in Continuous Time
Reversible Markov Processes
Some Mild Measure Theory
Notation
References
Index
Random Walks a Good Place to Begin
Doeblin's Theory for Markov Chains
More about the Ergodic Theory of Markov Chains
9.

図書
図書
9. Essentials of integration theory for analysis
Daniel W. Stroock
出版情報: New York, N.Y. : Springer, c2011  xi, 243 p. ; 24 cm
シリーズ名: Graduate texts in mathematics ; 262
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10.

図書
図書
10. An introduction to the theory of large deviations (: us ; : gw)
D.W. Stroock
出版情報: New York ; Berlin : Spring-Verlag, c1984  vii, 196 p. ; 24 cm
シリーズ名: Universitext
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