S. R. Srinivasa Varadhan

S. R. Srinivasa Varadhan's AcademicInfluence.com Rankings

Mathematics

#501

World Rank

#976

Historical Rank

Probability Theory

#11

World Rank

#25

Historical Rank

Measure Theory

#751

World Rank

#1008

Historical Rank

mathematics Degrees

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Mathematics

Why Is S. R. Srinivasa Varadhan Influential?

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According to Wikipedia, Sathamangalam Ranga Iyengar Srinivasa Varadhan, is an Indian American mathematician. He is known for his fundamental contributions to probability theory and in particular for creating a unified theory of large deviations. He is regarded as one of the fundamental contributors to the theory of diffusion processes with an orientation towards the refinement and further development of Itô’s stochastic calculus. In the year 2007, he became the first Asian to win the Abel Prize.

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S. R. Srinivasa Varadhan's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Asymptotic evaluation of certain Markov process expectations for large time (1975) (1438)
LARGE DEVIATIONS (2010) (1074)
The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains (1994) (628)
Large Deviations and Applications (1984) (621)
On the Support of Diffusion Processes with Applications to the Strong Maximum Principle (1972) (568)
Asymptotic probabilities and differential equations (1966) (426)
Asymptotics for the wiener sausage (1975) (425)
Diffusion processes with continuous coefficients, I (1969) (372)
Diffusion processes with boundary conditions (1971) (334)
Diffusion processes in a small time interval (1967) (265)
Hydrodynamics and large deviation for simple exclusion processes (1989) (258)
On the behavior of the fundamental solution of the heat equation with variable coefficients (2010) (241)
On the number of distinct sites visited by a random walk (1979) (240)
The large deviation principle for the Erdős-Rényi random graph (2011) (194)
On degenerate elliptic‐parabolic operators of second order and their associated diffusions (1972) (172)
Hydrodynamical limit for a Hamiltonian system with weak noise (1993) (172)
Asymptotics for the polaron (1983) (157)
On a variational formula for the principal eigenvalue for operators with maximum principle. (1975) (146)
On the principal eigenvalue of second‐order elliptic differential operators (1976) (122)
A probabilistic approach to (1974) (120)
Stochastic homogenization of Hamilton‐Jacobi‐Bellman equations (2006) (120)
On laws of the iterated logarithm for local times (1977) (115)
Lectures on Diffusion Problems and Partial Differential Equations (1980) (103)
Large deviations for random walks in a random environment (2003) (100)
Special invited paper. Large deviations (2008) (90)
Probability distributions on locally compact abelian groups (1963) (86)
A limit theorem with strong mixing in banach space and two applications to stochastic differential equations (1973) (84)
Diffusive limit of a tagged particle in asymmetric simple exclusion processes (2000) (83)
Probability Theory (2001) (82)
Large deviations for stationary Gaussian processes (1985) (76)
Scaling limits for interacting diffusions (1991) (72)
Homogenization of Hamilton‐Jacobi‐Bellman equations with respect to time‐space shifts in a stationary ergodic medium (2008) (68)
Spectral gap for zero-range dynamics (1996) (65)
Large deviations from a hydrodynamic scaling limit (1989) (65)
Diffusion in regions with many small holes (1980) (63)
FINITE APPROXIMATIONS TO QUANTUM SYSTEMS (1994) (63)
A Martingale Proof of Dobrushin's Theorem for Non-Homogeneous Markov Chains (2004) (57)
Diffusive limit of lattice gas with mixing conditions (1997) (56)
Stochastic processes (1968) (51)
Stochastic analysis and applications (2002) (50)
Large Deviations for Diffusions Interacting Through Their Ranks (2012) (49)
Boundary and interface problems in regions with very rough boundaries (1981) (45)
On the category of indecomposable distributions on topological groups (1962) (44)
Large Deviations for the Asymmetric Simple Exclusion Process (2004) (38)
Nonconventional limit theorems in discrete and continuous time via martingales (2010) (37)
Brownian Occupation Measures, Compactness and Large Deviations (2014) (35)
Symmetric Simple Exclusion Process:¶Regularity of the Self-Diffusion Coefficient (2001) (28)
Self Diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion (1995) (26)
Random walks in a random environment (2004) (25)
Large deviations for Markov processes and the asymptotic evaluation of certain Markov process expectations for large times (1975) (24)
Some familiar examples for which the large deviation principle does not hold (1991) (24)
Ohrnstein—uhlenbeck process in a random potential (1985) (24)
Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion (2011) (22)
Large Deviations for Interacting Particle Systems (1999) (22)
On Viscosity and Fluctuation-Dissipation in Exclusion Processes (2004) (20)
Asymptotic behavior of a tagged particle in simple exclusion processes (2000) (20)
Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators (1997) (20)
LIMIT THEOREMS FOR RANDOM WALKS ON LIE GROUPS (2016) (20)
Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process (2002) (20)
Entropy methods in hydrodynamic scaling (1993) (19)
A multidimensional process involving local time (1986) (17)
Ergodic theory : a seminar (1975) (17)
Nonconventional large deviations theorems (2012) (15)
The polaron problem and large deviations (1981) (15)
The complex story of simple exclusion (1996) (14)
Identification of the Polaron measure in strong coupling and the Pekar variational formula (2018) (14)
Kac functional and Schrödinger equation (1980) (13)
Extension of Stationary Stochastic Processes (1964) (12)
Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times (2018) (12)
Regularity of Self-Diffusion Coefficient (1994) (12)
Kiyosi Itô selected papers (1987) (12)
A Probabilistic Approach to H p (R d ) (1974) (11)
Limit Theorems in Probability (2019) (10)
Large deviations for noninteracting infinite-particle systems (1987) (10)
Chapter Nine. Large Deviations and Entropy (2003) (8)
Diffusive Behaviour of the Equilibrium Fluctuations in the Asymmetric Exclusion Processes (2004) (8)
Dependent random variables (2001) (8)
Prokhorov and contemporary probability theory (2013) (8)
Large Deviations for Random Matrices (2011) (7)
Large Deviations at Saint-Flour (2012) (7)
A law of the iterated logarithm for total occupation times of transient brownian motion (1980) (6)
Hydrodynamic Limits and Related Topics (2000) (6)
Fluctuations of the Self-Normalized Sum in the Curie–Weiss Model of SOC (2015) (6)
Nonequilibrium Problems in Many-Particle Systems (1993) (6)
On the Derivation of Conservation Laws for Stochastic Dynamics (1990) (5)
Tails of Polynomials of Random Variables and Stable Limits for Nonconventional Sums (2015) (5)
Some problems of large deviations (1981) (4)
The role of topology in large deviations (2018) (4)
The large deviation principle for the Erd\H{o}s-R\'enyi random graph (2010) (4)
Behavior of the solution of a random semilinear heat equation (2008) (4)
Bounding functions of Markov processes and the shortest queue problem (1989) (4)
Entropy and its many Avatars (2015) (3)
Relative Entropy and Hydrodynamic Limits (1993) (3)
Diffusion processes and martingales I (1971) (3)
Prokhorov and contemporary probability theory : in honor of Yuri V. Prokhorov (2013) (3)
Interview with Srinivasa Varadhan (2012) (3)
Relative entropy and mixing properties of interacting particle systems (1996) (3)
Entropy, Large Deviations, and Scaling Limits (2013) (3)
Identification of the Polaron measure and its central limit theorem (2018) (3)
Differential Equations: La Pietra 1996 (1998) (2)
9. The Large Deviation Problem for Empirical Distributions of Markov Processes (1984) (2)
Large Deviations and Scaling Limit (2009) (2)
Particle systems and their large deviations (2012) (2)
Review: Jean-Dominique Deuschel and Daniel W. Stroock, Large deviations (1991) (2)
Probability theory and applications (1999) (2)
Differential equations : La Pietra 1996 : Conference on Differential Equations marking the 70th birthdays of Peter Lax and Louis Nirenberg, July 3-7, 1996, Villa La Pietra, Florence, Italy (1999) (2)
INFINITE PARTICLE SYSTEMS AND THEIR SCALING LIMITS (2000) (1)
The Work of Pierre-Louis Lions (1995) (1)
Large Deviations. Jean-Dominique Deuschel and Daniel W. Stroock. Academic Press, San Diego, CA, 1989. xiv, 307 pp. $34.95. Pure and Applied Mathematics, vol. 137. (1990) (1)
Convolution properties of distributions on topological groups (1962) (1)
Book Review: Large deviations for stochastic processes (2012) (1)
Nongradient Models in Hydrodynamic Scaling (1996) (1)
Corrigendum and Addendum: Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times (2022) (1)
Random walks among random scatterers (1983) (1)
Homogenization of random Hamilton--Jacobi--Bellman equations (2008) (1)
Martingale Methods for the Central Limit Theorem (2016) (1)
Topics in probability theory : seminar 1971-1972 (1973) (1)
Theory of Diffusion Processes (2010) (1)
4. Multidimensional Version of Cramér's Theorem (1984) (0)
Large Deviation and Hydrodynamic Scaling (2001) (0)
The Polaron Problem (2021) (0)
Interview with Srinivasa Varadhan (2012) (0)
One-dimensional diffusions (2007) (0)
Discussion of Hiroshi Kunita’s Article: Analysis of nondegenerate Wiener-Poisson functionals and its applications to Itô’s SDE with jumps (2011) (0)
Limit theorems, review articles (2012) (0)
11. Upper Bounds (1984) (0)
Preliminary Material: Extension Theorems, Martingales, and Compactness (2006) (0)
The Polaron Measure (2020) (0)
Louis Nirenberg (1925–2020) (2021) (0)
Conference on Mathematical Frontiers and the Physical World (1982) (0)
Itô’s Uniqueness and Uniqueness to the Martingale Problem (2006) (0)
Processes with independent increments (2007) (0)
Central limit theorems for additive functionals of reversible Markov chains and applications (2019) (0)
Mathematical statistics, 1973-1974 (1974) (0)
Some comments about TASEP (2016) (0)
The Martingale Formulation (2006) (0)
Central limit theorems for additive functionals of reversible Markov chains and applications (2019) (0)
Interacting Particle Systems and Their Scaling Limits. (1996) (0)
C. R. Rao (1920–) Celebrates His 101st Birthday (2022) (0)
12. Lower Bounds (1984) (0)
Some Estimates on the Transition Probability Functions (2006) (0)
Probability Theory and Applications: IAS/Park City Mathematics Series, Vol. 6 (1999) (0)
An Introduction to the Theory of Large Deviations (D. W. Stroock) (1985) (0)
2. Large Deviations (1984) (0)
Measures on Polish spaces (2007) (0)
Rare Events, Large Deviations (2002) (0)
Tails of Polynomials of Random Variables and Stable Limits for Nonconventional Sums (2016) (0)
Book Review: Topics in occupation times and Gaussian free fields (2014) (0)
6. The Ventcel—Freidlin Theory (1984) (0)
PR ] 2 3 A pr 2 01 8 IDENTIFICATION OF THE POLARON MEASURE AND ITS CENTRAL LIMIT THEOREM (2018) (0)
Platinum Jubilee Lecture of Indian Academy of Sciences (2009) (0)
General theory of Markov processes (2007) (0)
PDE, SDE, diffusions, random media (2012) (0)
10. Some Properties of Entropy (1984) (0)
Harmonic Analysis (2022) (0)
15. The Polaron Problem (1984) (0)
Low Probabilities: Large Deviations . Jean-Dominique Deuschel and Daniel W. Stroock. Academic Press, San Diego, CA, 1989. xiv, 307 pp. $34.95. Pure and Applied Mathematics, vol. 137. (1990) (0)
Nonconventional large deviations theorems (2013) (0)
Parabolic Partial Differential Equations (2006) (0)
14. Application to the Problem of the Wiener Sausage (1984) (0)
Stationary stochastic processes (2001) (0)
VARADHAN’S WORK ON HYDRODYNAMICAL LIMITS (2016) (0)
The Stochastic Calculus of Diffusion Theory (2006) (0)
Large deviation asymptotics and the polaron (1982) (0)
16. Bibliographical Remarks (1984) (0)
13. Contraction Principle (1984) (0)
LARGE DEVIATION AND HOMOGENIZATION (2012) (0)
The Non-unique Case (2006) (0)
Markov Processes, Regularity of Their Sample Paths, and the Wiener Measure (2006) (0)
Jump Markov processes (2007) (0)
Fluctuations of the Self-Normalized Sum in the Curie–Weiss Model of SOC (2015) (0)
3. Cramér's Theorem (1984) (0)
Poisson point processes (2007) (0)
Dynamic programming and filtering (2001) (0)
Recollections of V. S. Varadarajan (2020) (0)
5. An Infinite Dimensional Example: Brownian Motion (1984) (0)
7. The Exit Problem (1984) (0)
8. Empirical Distributions (1984) (0)
George Papanicolaou (2014) (0)
Scaling Limits for Lattice Gas Models (2020) (0)
Review: Avner Friedman, Stochastic differential equations and applications (1976) (0)

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