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Varadhan, S. R. Srinivasa

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Author ID: varadhan.s-r-srinivasa Recent zbMATH articles by "Varadhan, S. R. Srinivasa"
Published as: Varadan, S. R. S.; Varadhan, S.; Varadhan, S. R. S.; Varadhan, S. R. Srinivasa; Varadhan, Srinivasa; Varadhan, Srinivasa R. S.
Homepage: http://math.nyu.edu/faculty/varadhan/
External Links: MGP · Math-Net.Ru · Wikidata · Celebratio Mathematica · GND · MacTutor
Awards: Abel Prize (2007)
Documents Indexed: 231 Publications since 1962, including 21 Books
Biographic References: 12 Publications
all top 5

Serials

34 Communications on Pure and Applied Mathematics
7 Communications in Mathematical Physics
7 The Annals of Probability
4 Journal of Statistical Physics
3 Probability Theory and Related Fields
3 Bulletin of the American Mathematical Society. New Series
3 Courant Lecture Notes in Mathematics
2 The Mathematics Student
2 Sankhyā. Series A. Methods and Techniques
2 Transactions of the American Mathematical Society
2 Expositiones Mathematicae
1 Advances in Applied Probability
1 Letters in Mathematical Physics
1 Russian Mathematical Surveys
1 Studia Mathematica
1 Teoriya Veroyatnosteĭ i eë Primeneniya
1 Reviews in Mathematical Physics
1 Illinois Journal of Mathematics
1 Journal of Mathematics of Kyoto University
1 Journal of the Mathematical Society of Japan
1 European Journal of Combinatorics
1 Proceedings of the National Academy of Sciences of the United States of America
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Electronic Journal of Probability
1 The Asian Journal of Mathematics
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Fields Institute Communications
1 Grundlehren der Mathematischen Wissenschaften
1 Lecture Notes in Mathematics
1 Proceedings of Symposia in Pure Mathematics
1 IAS/Park City Mathematics Series
1 Communications on Stochastic Analysis
1 Springer Proceedings in Mathematics & Statistics
1 Classics in Mathematics

Publications by Year

Citations contained in zbMATH

135 Publications have been cited 4,627 times in 3,558 Documents Cited by Year
Multidimensional diffusion processes. Zbl 0426.60069
Stroock, Daniel W.; Varadhan, S. R. Srinivasa
707
1979
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
267
1994
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 0588.60058
Kipnis, C.; Varadhan, S. R. S.
257
1986
Large deviations and applications. Zbl 0549.60023
Varadhan, S. R. S.
212
1984
Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069
Donsker, M. D.; Varadhan, S. R. S.
186
1975
Asymptotic probabilities and differential equations. Zbl 0147.15503
Varadhan, S. R. S.
147
1966
Asymptotic evaluation of certain Markov process expectations for large time. III. Zbl 0348.60032
Donsker, M. D.; Varadhan, S. R. S.
143
1976
Diffusion processes with boundary conditions. Zbl 0227.76131
Stroock, Daniel W.; Varadhan, S. R. S.
120
1971
On the support of diffusion processes with applications to the strong maximum principle. Zbl 0255.60056
Stroock, Daniel W.; Varadhan, S. R. S.
119
1972
Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005
Stroock, Daniel W.; Varadhan, S. R. Srinivasa
118
2006
Diffusion processes with continuous coefficients. I. Zbl 0167.43903
Stroock, Daniel W.; Varadhan, S. R. S.
110
1969
Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107
Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S.
100
1988
On the behavior of the fundamental solution of the heat equation with variable coefficients. Zbl 0155.16503
Varadhan, S. R. S.
90
1967
Asymptotic for the Wiener sausage. Zbl 0333.60077
Donsker, M. D.; Varadhan, S. R. S.
82
1975
Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059
Papanicolaou, G. C.; Varadhan, S. R. S.
79
1981
Hydrodynamics and large deviation for simple exclusion processes. Zbl 0644.76001
Kipnis, C.; Olla, S.; Varadhan, S. R. S.
77
1989
Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068
Donsker, M. D.; Varadhan, S. R. S.
72
1983
Martingale approach to some limit theorems. Zbl 0387.60067
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
72
1977
On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 0344.35041
Stroock, Daniel W.; Varadhan, S. R. S.
70
1972
Brownian motion in a wedge with oblique reflection. Zbl 0579.60082
Varadhan, S. R. S.; Williams, R. J.
69
1985
Asymptotic evaluation of certain Markov process expectations for large time. II. Zbl 0348.60031
Donsker, M. D.; Varadhan, S. R. S.
66
1975
Diffusion processes in a small time interval. Zbl 0278.60051
Varadhan, S. R. S.
65
1967
On a variational formula for the principal eigenvalue for operators with maximum principle. Zbl 0353.49039
Donsker, Monroe D.; Varadhan, S. R. S.
58
1975
The large deviation principle for the Erdős-Rényi random graph. Zbl 1230.05259
Chatterjee, Sourav; Varadhan, S. R. S.
54
2011
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
51
1993
Asymptotics for the polaron. Zbl 0538.60081
Donsker, M. D.; Varadhan, S. R. S.
51
1983
Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055
Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S.
50
2006
On the number of distinct sites visited by a random walk. Zbl 0418.60074
Donsker, M. D.; Varadhan, S. R. S.
46
1979
On the principal eigenvalue of second-order elliptic differential operators. Zbl 0356.35065
Donsker, M. D.; Varadhan, S. R. S.
44
1976
Large deviations. Zbl 1146.60003
Varadhan, S. R. S.
42
2008
Probability distributions on locally compact Abelian groups. Zbl 0129.10902
Parthasarathy, K. R.; Rao, R. Ranga; Varadhan, S. R. S.
42
1963
Diffusions with random coefficients. Zbl 0486.60076
Papanicolaou, George C.; Varadhan, S. R. S.
41
1982
Probability theory. Zbl 0980.60002
Varadhan, S. R. S.
36
2001
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
34
2000
Large deviations for random walks in a random environment. Zbl 1042.60071
Varadhan, S. R. S.
33
2003
Lectures on diffusion problems and partial differential equations. Notes by Pl. Muthuramalingam, Tara R. Nanda. Zbl 0489.35002
Varadhan, S. R. S.
32
1980
Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 0793.60105
Varadhan, S. R. S.
28
1993
Asymptotic evaluation of certain Wiener integrals for large time. Zbl 0333.60078
Donsker, M. D.; Varadhan, S. R. S.
27
1975
Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Zbl 1144.35008
Kosygina, Elena; Varadhan, S. R. S.
25
2008
On laws of the iterated logarithm for local times. Zbl 0356.60029
Donsker, M. D.; Varadhan, S. R. S.
25
1977
A limit theorem with strong mixing in Banach space and two applications to stochastic differential equations. Zbl 0253.60065
Papanicolaou, G. C.; Varadhan, S. R. S.
25
1973
Spectral gap for zero-range dynamics. Zbl 0870.60095
Landim, C.; Sethuraman, S.; Varadhan, S.
24
1996
Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Zbl 0816.60093
Varadhan, S. R. S.
24
1995
Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027
Donsker, M. D.; Varadhan, S. R. S.
23
1989
Large deviations for stationary Gaussian processes. Zbl 0646.60030
Donsker, M. D.; Varadhan, S. R. S.
23
1985
Scaling limits for interacting diffusions. Zbl 0725.60085
Varadhan, S. R. S.
22
1991
Finite approximations to quantum systems. Zbl 0855.47046
Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S.
19
1994
Diffusion in regions with many small holes. Zbl 0485.60076
Papanicolaou, G. C.; Varadhan, S. R. S.
19
1980
On the category of indecomposable distributions on topological groups. Zbl 0104.36205
Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S.
19
1962
Large deviations for the symmetric simple exclusion process in dimensions \(d\geqq 3\). Zbl 0928.60087
Quastel, J.; Rezakhanlou, F.; Varadhan, S. R. S.
18
1999
Nonconventional limit theorems in discrete and continuous time via martingales. Zbl 1304.60041
Kifer, Yuri; Varadhan, S. R. S.
17
2014
Martingale approach to some limit theorems. Zbl 1316.60097
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
17
2012
Large deviations and entropy. Zbl 1163.60312
Varadhan, S. R. S.
17
2003
Limit theorems for sums of independent random variables with values in a Hilbert space. Zbl 0113.34101
Varadhan, S.
17
1962
Stochastic processes. Zbl 1133.60004
Varadhan, S. R. S.
16
2007
A martingale proof of Dobrushin’s theorem for non-homogeneous Markov chains. Zbl 1111.60057
Sethuraman, S.; Varadhan, S. R. S.
16
2005
Large deviations for diffusions interacting through their ranks. Zbl 1341.60010
Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer
15
2016
Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089
Varadhan, S. R. S.; Yau, Horng-Tzer
15
1997
Errata to: Asymptotics for the Wiener sausage. Zbl 0351.60070
Donsker, M. D.; Varadhan, S. R. S.
15
1975
Scaling limit for interacting Ornstein-Uhlenbeck processes. Zbl 0725.60086
Olla, Stefano; Varadhan, S. R. S.
14
1991
Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078
Papanicolaou, G.; Varadhan, S. R. S.
14
1985
Limit theorems for random walks on Lie groups. Zbl 0299.60007
Stroock, Daniel W.; Varadhan, S. R. S.
14
1973
Large deviations for the asymmetric simple exclusion process. Zbl 1114.60026
Varadhan, Srinivasa R. S.
13
2004
Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093
Landim, C.; Olla, S.; Varadhan, S. R. S.
13
2001
Diffusion processes with continuous coefficients. II. Zbl 0167.43904
Stroock, Daniel W.; Varadhan, S. R. S.
12
1969
Asymptotic behavior of a tagged particle in simple exclusion processes. Zbl 0983.60100
Landim, C.; Olla, S.; Varadhan, S. R. S.
11
2000
Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142
Kohler, W.; Papanicolaou, G.; Varadhan, S.
11
1981
Brownian occupation measures, compactness and large deviations. Zbl 1364.60037
Mukherjee, Chiranjib; Varadhan, S. R. S.
10
2016
Lectures on hydrodynamic scaling. Zbl 1060.82514
Varadhan, S. R. S.
10
2000
Diffusion processes. Zbl 1316.60124
Stroock, Daniel W.; Varadhan, S. R. S.
9
2012
On viscosity and fluctuation-dissipation in exclusion processes. Zbl 1157.82355
Landim, C.; Olla, S.; Varadhan, S. R. S.
9
2004
Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306
Papanicolaou, G. C.; Varadhan, S. R. S.
8
2012
A multidimensional process involving local time. Zbl 0613.60050
Sznitman, A. S.; Varadhan, S. R. S.
8
1986
Some familiar examples for which the large deviation principle does not hold. Zbl 0749.60025
Baxter, J. R.; Jain, N. C.; Varadhan, S. R. S.
7
1991
Large deviations and applications. Zbl 0661.60040
Varadhan, Srinivasa R. S.
7
1988
Large deviations and applications. Zbl 0567.60030
Varadhan, S. R. S.
7
1985
Kac functional and Schrödinger equation. Zbl 0448.60054
Chung, Kai Lai; Varadhan, S. R. S.
7
1980
Nonconventional large deviations theorems. Zbl 1333.60042
Kifer, Yuri; Varadhan, S. R. S.
6
2014
Large deviations for random matrices. Zbl 1331.60016
Chatterjee, Sourav; Varadhan, S. R. S.
5
2012
Large deviations for Markov processes and the asymptotic evaluation of certain Markov process expectation for large times. Zbl 0348.60033
Donsker, M. D.; Varadhan, S. R. S.
5
1975
Diffusion processes. Zbl 0255.60055
Stroock, Daniel W.; Varadhan, S. R. S.
5
1972
Extension of stationary stochastic processes. Zbl 0138.11001
Parthasarathy, K. R.; Varadhan, S. R. S.
5
1964
Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. Zbl 1287.60117
Sethuraman, Sunder; Varadhan, S. R. S.
4
2013
Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068
Varadhan, S. R. S.
4
2012
On the support of diffusion processes with applications to the strong maximum principle. Zbl 1316.60123
Stroock, Daniel W.; Varadhan, S. R. S.
4
2012
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 1316.60112
Kipnis, C.; Varadhan, S. R. S.
4
2012
Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. Zbl 1018.60097
Landim, C.; Olla, S.; Varadhan, S. R. S.
4
2002
Relative entropy and mixing properties of interacting particle systems. Zbl 0884.60094
Ramirez, A. F.; Varadhan, S. R. S.
4
1996
Regularity of self-diffusion coefficient. Zbl 0822.60089
Varadhan, S. R. S.
4
1994
École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
4
1988
A probabilistic approach to H\(^p\)(R\(^d\)). Zbl 0289.60029
Stroock, Daniel W.; Varadhan, S. R. S.
4
1974
Large deviations at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1362 (1988), 1527 (1992) and 774 (1980). Zbl 1284.60004
Azencott, Robert; Freidlin, Mark I.; Varadhan, S. R. S.
3
2013
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
3
2012
Random walks in a random environment. Zbl 1077.60078
Varadhan, S. R. S.
3
2004
Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094
Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S.
3
2004
Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators. Zbl 0907.47040
Quastel, J.; Varadhan, S. R. S.
3
1997
Entropy methods in hydrodynamic scaling. Zbl 0791.60098
Varadhan, S. R. S.
3
1993
Large deviations for noninteracting infinite-particle systems. Zbl 0682.60020
Donsker, M. D.; Varadhan, S. R. S.
3
1987
A law of the iterated logarithm for total occupation times of transient Brownian motion. Zbl 0504.60037
Donsker, M. D.; Varadhan, S. R. S.
3
1980
Identification of the polaron measure. I: Fixed coupling regime and the central limit theorem for large times. Zbl 1442.60082
Mukherjee, Chiranjib; Varadhan, S. R. S.
2
2020
Identification of the polaron measure. I: Fixed coupling regime and the central limit theorem for large times. Zbl 1442.60082
Mukherjee, Chiranjib; Varadhan, S. R. S.
2
2020
Large deviations for diffusions interacting through their ranks. Zbl 1341.60010
Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer
15
2016
Brownian occupation measures, compactness and large deviations. Zbl 1364.60037
Mukherjee, Chiranjib; Varadhan, S. R. S.
10
2016
Large deviations. Zbl 1377.60006
Varadhan, S. R. S.
2
2016
Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC. Zbl 1359.60038
Gorny, Matthias; Varadhan, S. R. S.
1
2015
Nonconventional limit theorems in discrete and continuous time via martingales. Zbl 1304.60041
Kifer, Yuri; Varadhan, S. R. S.
17
2014
Nonconventional large deviations theorems. Zbl 1333.60042
Kifer, Yuri; Varadhan, S. R. S.
6
2014
Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. Zbl 1287.60117
Sethuraman, Sunder; Varadhan, S. R. S.
4
2013
Large deviations at Saint-Flour. Originally published in the Lecture Notes in Mathematics volumes 1362 (1988), 1527 (1992) and 774 (1980). Zbl 1284.60004
Azencott, Robert; Freidlin, Mark I.; Varadhan, S. R. S.
3
2013
Entropy, large deviations, and scaling limits. Zbl 1290.60108
Varadhan, S. R. S.
2
2013
Martingale approach to some limit theorems. Zbl 1316.60097
Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S.
17
2012
Diffusion processes. Zbl 1316.60124
Stroock, Daniel W.; Varadhan, S. R. S.
9
2012
Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306
Papanicolaou, G. C.; Varadhan, S. R. S.
8
2012
Large deviations for random matrices. Zbl 1331.60016
Chatterjee, Sourav; Varadhan, S. R. S.
5
2012
Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068
Varadhan, S. R. S.
4
2012
On the support of diffusion processes with applications to the strong maximum principle. Zbl 1316.60123
Stroock, Daniel W.; Varadhan, S. R. S.
4
2012
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 1316.60112
Kipnis, C.; Varadhan, S. R. S.
4
2012
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
3
2012
Brownian motion in a wedge with oblique reflection. Zbl 1316.60127
Varadhan, S. R. S.; Williams, R. J.
2
2012
Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 1329.60345
Varadhan, S. R. S.
1
2012
Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Zbl 1316.35020
Kosygina, Elena; Varadhan, S. R. S.
1
2012
Large deviations for random walks in a random environment. Zbl 1316.60149
Varadhan, S. R. S.
1
2012
Diffusion in regions with many small holes. Zbl 1316.60118
Papanicolaou, G. C.; Varadhan, S. R. S.
1
2012
On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 1316.35134
Stroock, Daniel W.; Varadhan, S. R. S.
1
2012
Probability distributions on locally compact abelian groups. Zbl 1316.60025
Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S.
1
2012
Introduction. Zbl 1316.82005
Varadhan, S. R. S.
1
2012
Autobiography: S. R. S. Varadhan. Zbl 1316.01022
Varadhan, S. R. S.
1
2012
Collected papers. Volume IV: Particle systems and their large deviations. Edited by Rajendra Bhatia, Abhay Bhatt and K. R. Parthasarathy. Zbl 1311.82004
Varadhan, S. R. S.
1
2012
The large deviation principle for the Erdős-Rényi random graph. Zbl 1230.05259
Chatterjee, Sourav; Varadhan, S. R. S.
54
2011
Large deviations and scaling limit. Zbl 1185.60024
Varadhan, Srinivasa R. S.
1
2009
Large deviations. Zbl 1146.60003
Varadhan, S. R. S.
42
2008
Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Zbl 1144.35008
Kosygina, Elena; Varadhan, S. R. S.
25
2008
Behavior of the solution of a random semilinear heat equation. Zbl 1152.60077
Varadhan, S. R. S.; Zygouras, Nikos
1
2008
Stochastic processes. Zbl 1133.60004
Varadhan, S. R. S.
16
2007
Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005
Stroock, Daniel W.; Varadhan, S. R. Srinivasa
118
2006
Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055
Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S.
50
2006
A martingale proof of Dobrushin’s theorem for non-homogeneous Markov chains. Zbl 1111.60057
Sethuraman, S.; Varadhan, S. R. S.
16
2005
Large deviations for the asymmetric simple exclusion process. Zbl 1114.60026
Varadhan, Srinivasa R. S.
13
2004
On viscosity and fluctuation-dissipation in exclusion processes. Zbl 1157.82355
Landim, C.; Olla, S.; Varadhan, S. R. S.
9
2004
Random walks in a random environment. Zbl 1077.60078
Varadhan, S. R. S.
3
2004
Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094
Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S.
3
2004
Large deviations for random walks in a random environment. Zbl 1042.60071
Varadhan, S. R. S.
33
2003
Large deviations and entropy. Zbl 1163.60312
Varadhan, S. R. S.
17
2003
Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. Zbl 1018.60097
Landim, C.; Olla, S.; Varadhan, S. R. S.
4
2002
Probability theory. Zbl 0980.60002
Varadhan, S. R. S.
36
2001
Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093
Landim, C.; Olla, S.; Varadhan, S. R. S.
13
2001
Diffusion processes. Zbl 0986.60075
Varadhan, S. R. S.
1
2001
Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084
Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer
34
2000
Asymptotic behavior of a tagged particle in simple exclusion processes. Zbl 0983.60100
Landim, C.; Olla, S.; Varadhan, S. R. S.
11
2000
Lectures on hydrodynamic scaling. Zbl 1060.82514
Varadhan, S. R. S.
10
2000
Infinite particle systems and their scaling limits. Zbl 1028.82516
Varadhan, S. R. S.
1
2000
Hydrodynamic limits and related topics. Workshop, Toronto, Ontario, Canada, October 7–10, 1998. Zbl 0951.00042
Feng, Shui (ed.); Lawniczak, Anna T. (ed.); Varadhan, S. R. S. (ed.)
1
2000
Large deviations for the symmetric simple exclusion process in dimensions \(d\geqq 3\). Zbl 0928.60087
Quastel, J.; Rezakhanlou, F.; Varadhan, S. R. S.
18
1999
Large deviations for interacting particle systems. Zbl 0941.60096
Varadhan, S. R. S.
1
1999
Probability theory and applications. Zbl 0932.60005
Hsu, Elton P. (ed.); Varadhan, S. R. S. (ed.)
1
1999
Preface. Zbl 0924.01025
Giaquinta, M.; Shatah, J.; Varadhan, S. R. S.
1
1999
Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089
Varadhan, S. R. S.; Yau, Horng-Tzer
15
1997
Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators. Zbl 0907.47040
Quastel, J.; Varadhan, S. R. S.
3
1997
Spectral gap for zero-range dynamics. Zbl 0870.60095
Landim, C.; Sethuraman, S.; Varadhan, S.
24
1996
Relative entropy and mixing properties of interacting particle systems. Zbl 0884.60094
Ramirez, A. F.; Varadhan, S. R. S.
4
1996
The complex story of simple exclusion. Zbl 0866.60092
Varadhan, S. R. S.
2
1996
Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Zbl 0816.60093
Varadhan, S. R. S.
24
1995
Entropy methods in hydrodynamic scaling. Zbl 0872.60081
Varadhan, S. R. S.
2
1995
The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129
Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S.
267
1994
Finite approximations to quantum systems. Zbl 0855.47046
Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S.
19
1994
Regularity of self-diffusion coefficient. Zbl 0822.60089
Varadhan, S. R. S.
4
1994
Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101
Olla, S.; Varadhan, S. R. S.; Yau, H. T.
51
1993
Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 0793.60105
Varadhan, S. R. S.
28
1993
Entropy methods in hydrodynamic scaling. Zbl 0791.60098
Varadhan, S. R. S.
3
1993
Relative entropy and hydrodynamic limits. Zbl 0790.60094
Varadhan, S. R. S.
2
1993
The ground state and maximum principle for second order elliptic operators in general domains. Zbl 0798.35038
Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa
1
1993
Entropy methods in hydrodynamical scaling. Zbl 0947.82510
Varadhan, S. R. S.
1
1992
Scaling limits for interacting diffusions. Zbl 0725.60085
Varadhan, S. R. S.
22
1991
Scaling limit for interacting Ornstein-Uhlenbeck processes. Zbl 0725.60086
Olla, Stefano; Varadhan, S. R. S.
14
1991
Some familiar examples for which the large deviation principle does not hold. Zbl 0749.60025
Baxter, J. R.; Jain, N. C.; Varadhan, S. R. S.
7
1991
On the derivation of conservation laws for stochastic dynamics. Zbl 0699.60097
Varadhan, S. R. S.
1
1990
Hydrodynamics and large deviation for simple exclusion processes. Zbl 0644.76001
Kipnis, C.; Olla, S.; Varadhan, S. R. S.
77
1989
Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027
Donsker, M. D.; Varadhan, S. R. S.
23
1989
Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107
Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S.
100
1988
Large deviations and applications. Zbl 0661.60040
Varadhan, Srinivasa R. S.
7
1988
École d’été de probabilités de Saint-Flour XV-XVII, 1985-87 (2-19 Juil. 1985, 17 Août - 3 Sept. 1986, 1-18 Juil. 1987). Zbl 0649.00016
Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S.
4
1988
Large deviations for noninteracting infinite-particle systems. Zbl 0682.60020
Donsker, M. D.; Varadhan, S. R. S.
3
1987
Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 0588.60058
Kipnis, C.; Varadhan, S. R. S.
257
1986
A multidimensional process involving local time. Zbl 0613.60050
Sznitman, A. S.; Varadhan, S. R. S.
8
1986
Brownian motion in a wedge with oblique reflection. Zbl 0579.60082
Varadhan, S. R. S.; Williams, R. J.
69
1985
Large deviations for stationary Gaussian processes. Zbl 0646.60030
Donsker, M. D.; Varadhan, S. R. S.
23
1985
Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078
Papanicolaou, G.; Varadhan, S. R. S.
14
1985
Large deviations and applications. Zbl 0567.60030
Varadhan, S. R. S.
7
1985
Large deviations for stationary Gaussian processes. Zbl 0657.60036
Donsker, M. D.; Varadhan, S. R. S.
2
1985
Central limit theorems for additive functionals of reversible Markov chains and applications. Zbl 0584.60043
Kipnis, Claude; Varadhan, S. R. S.
2
1985
Large deviations and applications. Zbl 0549.60023
Varadhan, S. R. S.
212
1984
Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068
Donsker, M. D.; Varadhan, S. R. S.
72
1983
Asymptotics for the polaron. Zbl 0538.60081
Donsker, M. D.; Varadhan, S. R. S.
51
1983
Diffusions with random coefficients. Zbl 0486.60076
Papanicolaou, George C.; Varadhan, S. R. S.
41
1982
Large deviation asymptotics and the polaron. Zbl 0501.60034
Donsker, M. D.; Varadhan, S. R. S.
1
1982
Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059
Papanicolaou, G. C.; Varadhan, S. R. S.
79
1981
Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142
Kohler, W.; Papanicolaou, G.; Varadhan, S.
11
1981
Some problems of large deviations. Zbl 0472.60028
Donsker, M. D.; Varadhan, S. R. S.
2
1981
Lectures on diffusion problems and partial differential equations. Notes by Pl. Muthuramalingam, Tara R. Nanda. Zbl 0489.35002
Varadhan, S. R. S.
32
1980
Diffusion in regions with many small holes. Zbl 0485.60076
Papanicolaou, G. C.; Varadhan, S. R. S.
19
1980
...and 35 more Documents
all top 5

Cited by 3,517 Authors

42 Yavin, Yaakov
38 Landim, Claudio
33 Olla, Stefano
26 Jara, Milton D.
26 Varadhan, S. R. Srinivasa
23 Stroock, Daniel W.
22 Zhu, Lingjiong
21 Röckner, Michael
20 Berestycki, Henri
19 Seppäläinen, Timo
18 Komorowski, Tomasz
18 Lebowitz, Joel Louis
17 Albeverio, Sergio A.
17 Bass, Richard F.
17 Hamel, François
17 Kifer, Yuri
16 Burdzy, Krzysztof
16 Flandoli, Franco
16 Pardoux, Etienne
15 Bismut, Jean-Michel
15 Chen, Xia
15 Deuschel, Jean-Dominique
15 Sethuraman, Sunder
15 Souganidis, Panagiotis E.
15 Takeda, Masayoshi
14 Bertini, Lorenzo Bertini
14 König, Wolfgang Dieter
14 Sznitman, Alain-Sol
14 Yau, Horng-Tzer
14 Zhang, Tusheng S.
13 Dawson, Donald Andrew
13 Gabrielli, Davide
13 Wu, Liming
12 Armstrong, Scott N.
12 Bernardin, Cédric
12 Birindelli, Isabeau
12 Chen, Zhen-Qing
12 Gonçalves, Patrícia C.
12 Spohn, Herbert
11 Funaki, Tadahisa
11 Hairer, Martin
11 Jona-Lasinio, Giovanni
11 Peligrad, Magda
11 Quastel, Jeremy
11 Rassoul-Agha, Firas
11 Russo, Francesco
11 Wang, Feng-Yu
11 Zeitouni, Ofer
10 Biswas, Anup
10 Bolthausen, Erwin
10 Delarue, François
10 Derrida, Bernard
10 Friz, Peter Karl
10 Gloria, Antoine
10 Lions, Pierre-Louis
10 Maes, Christian
10 Mogul’skii, Anatolii Alfredovich
10 Papanicolaou, George C.
10 Sirakov, Boyan Slavchev
10 Touzi, Nizar
10 Vitolo, Antonio
10 Williams, Ruth J.
10 Yilmaz, Atilla
9 Biskup, Marek
9 Coville, Jerome
9 Dembo, Amir
9 den Hollander, Frank
9 Faggionato, Alessandra
9 Karatzas, Ioannis
9 Kusuoka, Shigeo
9 Macci, Claudio
9 Mourrat, Jean-Christophe
9 Rossi, Luca
9 Shaposhnikov, Stanislav V.
9 Sheu, Shuenn-Jyi
9 Tran Vinh Hung
8 Ben Arous, Gérard
8 Borkar, Vivek Shripad
8 de Villiers, Rosalie
8 Dupuis, Paul G.
8 Ellis, Richard Salisbury
8 Fukushima, Ryoki
8 Jiang, Daqing
8 Krylov, Nicolaĭ Vladimirovich
8 Kumagai, Takashi
8 Magnanini, Rolando
8 Nadirashvili, Nikolai S.
8 Nualart, David
8 Otto, Felix
8 Perkins, Edwin A.
8 Quaas, Alexander
8 Rezakhanlou, Fraydoun
8 Sanz-Solé, Marta
8 Tóth, Bálint
8 Veretennikov, Alexander Yu.
7 Asselah, Amine
7 Berger, Noam
7 Bodineau, Thierry
7 Borovkov, Aleksandr Alekseevich
7 Capuzzo Dolcetta, Italo
...and 3,417 more Authors
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Cited in 424 Serials

295 Stochastic Processes and their Applications
195 Probability Theory and Related Fields
186 Journal of Statistical Physics
182 The Annals of Probability
115 Communications in Mathematical Physics
107 Journal of Functional Analysis
104 The Annals of Applied Probability
83 Journal of Differential Equations
74 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
67 Journal of Mathematical Analysis and Applications
63 Transactions of the American Mathematical Society
62 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
62 Statistics & Probability Letters
60 Journal of Theoretical Probability
44 Communications on Pure and Applied Mathematics
35 Journal of Mathematical Physics
34 Communications in Partial Differential Equations
31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Stochastic Analysis and Applications
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Archive for Rational Mechanics and Analysis
25 Stochastics
24 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
24 Electronic Journal of Probability
23 Applied Mathematics and Optimization
22 Discrete and Continuous Dynamical Systems
21 Proceedings of the American Mathematical Society
21 Bernoulli
20 Journal of Applied Probability
20 Journal of Optimization Theory and Applications
20 Stochastics and Dynamics
19 Computers & Mathematics with Applications
19 Lithuanian Mathematical Journal
18 Potential Analysis
17 Advances in Applied Probability
17 Journal of Multivariate Analysis
17 SIAM Journal on Control and Optimization
17 Journal of Mathematical Sciences (New York)
16 Finance and Stochastics
16 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
15 Mathematische Annalen
15 SIAM Journal on Mathematical Analysis
15 Bulletin des Sciences Mathématiques
14 Advances in Mathematics
14 Calculus of Variations and Partial Differential Equations
13 Systems & Control Letters
13 Journal of Statistical Mechanics: Theory and Experiment
12 Journal of Statistical Planning and Inference
12 Siberian Mathematical Journal
12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique
12 Bulletin of the American Mathematical Society. New Series
11 Israel Journal of Mathematics
11 The Annals of Statistics
11 Journal of Econometrics
11 Proceedings of the Japan Academy. Series A
11 Physica D
11 Mathematical and Computer Modelling
11 Infinite Dimensional Analysis, Quantum Probability and Related Topics
11 Frontiers of Mathematics in China
11 Science China. Mathematics
10 Nonlinearity
10 Ukrainian Mathematical Journal
10 Reviews in Mathematical Physics
10 Applied Mathematics and Computation
10 Duke Mathematical Journal
10 Journal of Computational and Applied Mathematics
10 Acta Mathematicae Applicatae Sinica. English Series
10 Queueing Systems
10 Science in China. Series A
10 Acta Mathematica Sinica. English Series
10 Nonlinear Analysis. Theory, Methods & Applications
9 Journal of Mathematical Biology
9 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 SIAM Journal on Applied Mathematics
9 Stochastics and Stochastics Reports
9 Electronic Communications in Probability
9 Multiscale Modeling & Simulation
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 Journal of Computational Physics
8 Mathematical Notes
8 Theoretical and Mathematical Physics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of Soviet Mathematics
8 Mathematische Nachrichten
8 Mathematische Zeitschrift
8 Acta Applicandae Mathematicae
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 International Journal of Theoretical and Applied Finance
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
7 International Journal of Systems Science
7 Journal d’Analyse Mathématique
7 Reports on Mathematical Physics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Inventiones Mathematicae
7 Journal of the Mathematical Society of Japan
7 Forum Mathematicum
7 Journal of Dynamics and Differential Equations
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 NoDEA. Nonlinear Differential Equations and Applications
...and 324 more Serials
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Cited in 56 Fields

2,523 Probability theory and stochastic processes (60-XX)
926 Partial differential equations (35-XX)
588 Statistical mechanics, structure of matter (82-XX)
196 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
195 Systems theory; control (93-XX)
171 Numerical analysis (65-XX)
169 Operator theory (47-XX)
161 Global analysis, analysis on manifolds (58-XX)
153 Statistics (62-XX)
148 Dynamical systems and ergodic theory (37-XX)
129 Calculus of variations and optimal control; optimization (49-XX)
120 Biology and other natural sciences (92-XX)
118 Quantum theory (81-XX)
111 Fluid mechanics (76-XX)
94 Ordinary differential equations (34-XX)
69 Combinatorics (05-XX)
59 Operations research, mathematical programming (90-XX)
47 Measure and integration (28-XX)
45 Functional analysis (46-XX)
44 Differential geometry (53-XX)
43 Potential theory (31-XX)
36 Mechanics of deformable solids (74-XX)
33 Computer science (68-XX)
28 Integral equations (45-XX)
28 Information and communication theory, circuits (94-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
21 Approximations and expansions (41-XX)
20 Topological groups, Lie groups (22-XX)
20 Abstract harmonic analysis (43-XX)
20 Classical thermodynamics, heat transfer (80-XX)
18 Difference and functional equations (39-XX)
18 Mechanics of particles and systems (70-XX)
17 Real functions (26-XX)
12 Number theory (11-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
11 Convex and discrete geometry (52-XX)
10 Mathematical logic and foundations (03-XX)
10 Optics, electromagnetic theory (78-XX)
8 Group theory and generalizations (20-XX)
8 General topology (54-XX)
7 Functions of a complex variable (30-XX)
7 Special functions (33-XX)
7 Geophysics (86-XX)
6 History and biography (01-XX)
6 Integral transforms, operational calculus (44-XX)
5 General and overarching topics; collections (00-XX)
5 Several complex variables and analytic spaces (32-XX)
3 Nonassociative rings and algebras (17-XX)
3 Relativity and gravitational theory (83-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Manifolds and cell complexes (57-XX)

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