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D-Index & Metrics

Mathematics

D-Index
45
Citations
19351
World Ranking
1413
National Ranking
623

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2010 - US President's National Medal of Science "For his work in probability theory, especially his work on large deviations from expected random behavior, which has revolutionized this field of study during the second half of the twentieth century and become a cornerstone of both pure and applied probability. The mathematical insights he developed have been applied in diverse fields including quantum field theory, population dynamics, finance, econometrics, and traffic engineering.", Presented by President Barack H. Obama in the East Room of the White House on Friday, October 21, 2011.
  • 2009 - SIAM Fellow For advances in probability theory, including the study of large deviations.
  • 2007 - Abel Prize For his fundamental contributions to probability theory and in particular for creating a unified theory of large deviation
  • 2005 - Member of the European Academy of Sciences
  • 2005 - Wald Memorial Lecturer
  • 1998 - Fellow of the Royal Society, United Kingdom
  • 1996 - Steele Prize for Seminal Contribution to Research
  • 1995 - Member of the National Academy of Sciences
  • 1988 - Fellow, The World Academy of Sciences
  • 1988 - Fellow of the American Academy of Arts and Sciences
  • 1984 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1969 - Fellow of Alfred P. Sloan Foundation

Overview

Srinivasa Varadhan is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans the fields of mathematics and physics and astronomy, with significant contributions to both disciplines.

The main fields of study for this scientist include:

  • Mathematics (13 publications)
  • Physics and Astronomy (7 publications)

Within these areas, their work focuses on several subfields, notably:

  • Mathematical Physics (7 publications)
  • Applied Mathematics (4 publications)
  • Statistical and Nonlinear Physics (3 publications)
  • Atomic and Molecular Physics, and Optics (3 publications)
  • Finance (2 publications)

The main research topics covered in their work include:

  • Advanced Thermodynamics and Statistical Mechanics (6 publications)
  • Spectral Theory in Mathematical Physics (4 publications)
  • Stochastic processes and statistical mechanics (4 publications)
  • Stochastic processes and financial applications (4 publications)
  • Algebraic and Geometric Analysis (4 publications)
  • Quantum Mechanics and Applications (4 publications)
  • Mathematical Analysis and Transform Methods (4 publications)

Recent papers authored or co-authored by Srinivasa Varadhan include:

  • Identification of the Polaron measure in strong coupling and the Pekar variational formula, 2020, The Annals of Probability
  • Corrigendum and Addendum: Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times, 2022, Communications on Pure and Applied Mathematics
  • Recollections of V. S. Varadarajan, 2020, Notices of the American Mathematical Society
  • Effective Mass of the Fröhlich Polaron and the Landau-Pekar-Spohn Conjecture, 2023, arXiv (Cornell University)
  • Atypical behaviors of a tagged particle in asymmetric simple exclusion, 2023, arXiv (Cornell University)

Frequent co-authors collaborating with this scientist include:

  • Chiranjib Mukherjee
  • V. C. Joshua
  • Vladimir Vishnevsky
  • Don Blasius
  • Trond Digernes

Publications are often found in notable venues such as:

  • arXiv (Cornell University) with 2 publications
  • The Annals of Probability with 1 publication
  • Communications on Pure and Applied Mathematics with 1 publication
  • Notices of the American Mathematical Society with 1 publication

The scientist has also contributed to book publications, with titles including:

  • Applied Probability and Stochastic Processes (2020), published by Springer International Publishing
  • Harmonic Analysis (2022), published by American Mathematical Society

Awards and recognitions received by Srinivasa Varadhan include:

  • Fellow of the American Mathematical Society (2013)
  • US President's National Medal of Science (2010) presented by President Barack H. Obama, recognizing work in probability theory and its applications across various fields
  • SIAM Fellow (2009)
  • Abel Prize (2007) for contributions to probability theory and large deviation theory
  • Member of the European Academy of Sciences (2005)
  • Wald Memorial Lecturer (2005)
  • Fellow of the Royal Society, United Kingdom (1998)
  • 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 (1988)
  • Fellow of The World Academy of Sciences (1988)
  • Fellow of John Simon Guggenheim Memorial Foundation (1984)
  • Fellow of Alfred P. Sloan Foundation (1969)

Best Publications

  • Multidimensional Diffusion Processes

    Daniel W. Stroock;Srinivasa R. S. Varadhan

  • Asymptotic evaluation of certain Markov process expectations for large time—III

    M. D. Donsker;S. R. S. Varadhan

  • Asymptotic evaluation of certain Markov process expectations for large time

    Unknown

  • Large Deviations and Applications

    Srinivasa R. S. Varadhan

  • Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

    C. Kipnis;S. R. S. Varadhan

  • The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

    H. Berestycki;L. Nirenberg;S. R. S. Varadhan

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

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

  • Asymptotics for the wiener sausage

    M. D. Donsker;S. R. S. Varadhan

  • Asymptotic probabilities and differential equations

    S. R. S. Varadhan

  • Nonlinear diffusion limit for a system with nearest neighbor interactions

    M. Z. Guo;G. C. Papanicolaou;S. R. S. Varadhan

  • Diffusion processes with continuous coefficients, I

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

  • Diffusion processes with boundary conditions

    Daniel W. Stroock;Srinivasa Varadhan

  • On the number of distinct sites visited by a random walk

    M. D. Donsker;S. R. S. Varadhan

  • Hydrodynamics and large deviation for simple exclusion processes

    C. Kipnis;S. Olla;S. R. S. Varadhan

  • Diffusion processes in a small time interval

    S. R. S. Varadhan

  • On the behavior of the fundamental solution of the heat equation with variable coefficients

    Unknown

  • Brownian motion in a wedge with oblique reflection

    S. R. S. Varadhan;R. J. Williams

  • Asymptotics for the polaron

    M. D. Donsker;S. R. S. Varadhan

  • The large deviation principle for the Erdős-Rényi random graph

    Sourav Chatterjee;S. R. S. Varadhan

  • On a variational formula for the principal eigenvalue for operators with maximum principle

    Monroe D. Donsker;S. R. S. Varadhan

  • Hydrodynamical limit for a Hamiltonian system with weak noise

    S. Olla;S. R. S. Varadhan;H. T. Yau

  • Large deviations for random walks in a random environment

    S. R. S. Varadhan

Frequent Co-Authors

Stefano Olla
Stefano Olla Paris Dauphine University
Claudio Landim
Claudio Landim Instituto Nacional de Matemática Pura e Aplicada
K. R. Parthasarathy
K. R. Parthasarathy Indian Statistical Institute
Ofer Zeitouni
Ofer Zeitouni Weizmann Institute of Science
George Papanicolaou
George Papanicolaou Stanford University
Yuri Kifer
Yuri Kifer Hebrew University of Jerusalem
Amir Dembo
Amir Dembo Stanford University
Horng-Tzer Yau
Horng-Tzer Yau Harvard University
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences

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