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Daniel W. Stroock

Daniel W. Stroock

D-Index & Metrics

Mathematics

D-Index
57
Citations
17399
World Ranking
674
National Ranking
341

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1996 - Steele Prize for Seminal Contribution to Research
  • 1995 - Member of the National Academy of Sciences
  • 1991 - Fellow of the American Academy of Arts and Sciences
  • 1978 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Daniel W. Stroock is affiliated with MIT in the United States and has contributed to research primarily in the field of Mathematics, with additional work in Physics and Astronomy. Their research topics span areas such as Mathematical and Theoretical Analysis, Mathematical Analysis and Transform Methods, Mathematics and Applications, Algebraic and Geometric Analysis, advanced mathematical theories, and Relativity and Gravitational Theory.

Stroock has published papers in venues including:

  • arXiv (Cornell University)

One recent paper by Stroock is titled Integral Functionals of Probability that Depend Only on Mean Values, published in 2023 in arXiv (Cornell University).

They have also authored several books published by prominent academic presses:

  • Gaussian Measures in Finite and Infinite Dimensions (2023), published by Springer Nature
  • Essentials of Integration Theory for Analysis (2020), published by Springer Nature
  • Probability Theory, An Analytic View (2024), published by Cambridge University Press

Their work has been cited in various contexts, with the book Probability Theory, An Analytic View receiving notably high citation counts.

Stroock's research interests cover the following fields and subfields:

  • Mathematics
  • Physics and Astronomy
  • Mathematical Physics
  • Applied Mathematics
  • Geometry and Topology
  • Astronomy and Astrophysics

Their range of main research topics includes:

  • Mathematical and Theoretical Analysis
  • Mathematical Analysis and Transform Methods
  • Mathematics and Applications
  • Algebraic and Geometric Analysis
  • advanced mathematical theories
  • Relativity and Gravitational Theory

Daniel W. Stroock has been recognized with several awards and honors throughout their career:

  • Fellow of the American Mathematical Society (2013)
  • Steele Prize for Seminal Contribution to Research (1996)
  • Member of the National Academy of Sciences (1995)
  • Fellow of the American Academy of Arts and Sciences (1991)
  • Fellow of John Simon Guggenheim Memorial Foundation (1978)

Best Publications

  • Multidimensional Diffusion Processes

    Daniel W. Stroock;Srinivasa R. S. Varadhan

  • Geometric Bounds for Eigenvalues of Markov Chains

    Persi Diaconis;Daniel Stroock

  • Probability Theory, an Analytic View

    Daniel W. Stroock

  • On the Support of Diffusion Processes with Applications to the Strong Maximum Principle

    Daniel W. Stroock;S. R. S. Varadhan

  • Applications of the Malliavin calculus. II

    S. Kusuoka;D. Stroock

  • A New Proof of Moser’s Parabolic Harnack Inequality Using the old Ideas of Nash

    E. B. Fabes;E. B. Fabes;Daniel W. Stroock;Daniel W. Stroock

  • An Introduction to the Theory of Large Deviations

    Daniel W. Stroock

  • Upper bounds for symmetric Markov transition functions

    Eric Anders. Carlen;S. Kusuoka;Daniel W. Stroock

  • Diffusion processes with continuous coefficients, I

    Daniel W. Stroock;S. R. S. Varadhan

  • Logarithmic Sobolev inequalities and stochastic Ising models

    Richard. Holley;Daniel W. Stroock

  • Diffusion processes associated with Lévy generators

    Daniel W. Stroock

  • Diffusion processes with boundary conditions

    Daniel W. Stroock;Srinivasa Varadhan

  • An Introduction to Markov Processes

    Daniel W. Stroock

  • Generalized Ornstein-Uhlenbeck Processes and Infinite Particle Branching Brownian Motions

    Richard A. Holley;Daniel W. Stroock

  • The logarithmic Sobolev inequality for discrete spin systems on a lattice

    Daniel W. Stroock;Boguslaw Zegarlinski;Boguslaw Zegarlinski

  • Asymptotics of the spectral gap with applications to the theory of simulated annealing

    Richard A Holley;Shigeo Kusuoka;Daniel W Stroock

  • Diffusion semigroups corresponding to uniformly elliptic divergence form operators

    Unknown

  • Simulated annealing via Sobolev inequalities

    Richard Holley;Daniel Stroock

  • An Introduction to the Analysis of Paths on a Riemannian Manifold

    Daniel W. Stroock

  • The $L^p$-integrability of Green’s functions and fundamental solutions for elliptic and parabolic equations

    Unknown

  • The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition

    Daniel W. Stroock;Boguslaw Zegarlinski;Boguslaw Zegarlinski

  • The Malliavin calculus, a functional analytic approach

    Daniel W Stroock

Frequent Co-Authors

Srinivasa Varadhan
Srinivasa Varadhan Courant Institute of Mathematical Sciences
Marc Yor
Marc Yor Sorbonne University
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
David S. Williams
David S. Williams University of California, Los Angeles
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
Gérard Ben Arous
Gérard Ben Arous Courant Institute of Mathematical Sciences
Laurent Saloff-Coste
Laurent Saloff-Coste Cornell University

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