Edit Profile Varadhan, S. R. Srinivasa Compute Distance To: Compute Author ID: 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 Co-Authors 84 single-authored 25 Donsker, Monroe D. 25 Stroock, Daniel W. 16 Olla, Stefano 16 Papanicolaou, George C. 12 Landim, Claudio 8 Sethuraman, Sunder 7 Yau, Horng-Tzer 6 Parthasarathy, Kalyanapuram Rangachari 5 Kipnis, Claude P. 4 Berestycki, Henri 4 Kosygina, Elena 4 Nirenberg, Louis 4 Quastel, Jeremy 4 Ranga Rao, R. 4 Rezakhanlou, Fraydoun 3 Digernes, Trond 3 Kifer, Yuri 3 Mukherjee, Chiranjib 2 Chatterjee, Sourav 2 Chung, Kai Lai 2 Giaquinta, Mariano 2 Gopinath, B. 2 Gubner, John A. 2 Guo, Maozheng 2 Ramírez, Alejandro F. 2 Shatah, Jalal 2 Sznitman, Alain-Sol 2 Varadarajan, Veeravalli S. 2 Williams, Ruth J. 2 Zygouras, Nikolaos 1 Azencott, Robert 1 Baxter, John Robert 1 Blasius, Don 1 Dembo, Amir 1 Diaconis, Persi Warren 1 Dynkin, Evgeniĭ Borisovich 1 Elworthy, David 1 Feng, Shui 1 Fioresi, Rita 1 Föllmer, Hans 1 Freidlin, Mark I. 1 Gangolli, Ramesh 1 Gorny, Matthias 1 Hsu, Elton P. 1 Jain, Naresh C. 1 Joshua, Varghese C. 1 Kohler, Werner E. 1 Lawniczak, Anna T. 1 Moser, Jürgen K. 1 Nelson, Joseph Edward 1 Phillips, Edward S. 1 Presman, Ernst L. 1 Rapoport, Michael 1 Shiryaev, Al’bert Nikolaevich 1 Shkolnikov, Mykhaylo 1 Vishnevsky, Vladimir M. 1 Wentzell, Alexander Dmitrievich 1 Zeitouni, Ofer 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 all top 5 Fields 195 Probability theory and stochastic processes (60-XX) 65 Statistical mechanics, structure of matter (82-XX) 28 Partial differential equations (35-XX) 10 History and biography (01-XX) 8 General and overarching topics; collections (00-XX) 7 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Operator theory (47-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Measure and integration (28-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 135 Publications have been cited 4,627 times in 3,558 Documents Cited by ▼ Year ▼ Multidimensional diffusion processes. Zbl 0426.60069Stroock, Daniel W.; Varadhan, S. R. Srinivasa 707 1979 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129Berestycki, 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 0588.60058Kipnis, C.; Varadhan, S. R. S. 257 1986 Large deviations and applications. Zbl 0549.60023Varadhan, S. R. S. 212 1984 Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069Donsker, M. D.; Varadhan, S. R. S. 186 1975 Asymptotic probabilities and differential equations. Zbl 0147.15503Varadhan, S. R. S. 147 1966 Asymptotic evaluation of certain Markov process expectations for large time. III. Zbl 0348.60032Donsker, M. D.; Varadhan, S. R. S. 143 1976 Diffusion processes with boundary conditions. Zbl 0227.76131Stroock, Daniel W.; Varadhan, S. R. S. 120 1971 On the support of diffusion processes with applications to the strong maximum principle. Zbl 0255.60056Stroock, Daniel W.; Varadhan, S. R. S. 119 1972 Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005Stroock, Daniel W.; Varadhan, S. R. Srinivasa 118 2006 Diffusion processes with continuous coefficients. I. Zbl 0167.43903Stroock, Daniel W.; Varadhan, S. R. S. 110 1969 Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107Guo, 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 0155.16503Varadhan, S. R. S. 90 1967 Asymptotic for the Wiener sausage. Zbl 0333.60077Donsker, M. D.; Varadhan, S. R. S. 82 1975 Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059Papanicolaou, G. C.; Varadhan, S. R. S. 79 1981 Hydrodynamics and large deviation for simple exclusion processes. Zbl 0644.76001Kipnis, C.; Olla, S.; Varadhan, S. R. S. 77 1989 Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068Donsker, M. D.; Varadhan, S. R. S. 72 1983 Martingale approach to some limit theorems. Zbl 0387.60067Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 72 1977 On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 0344.35041Stroock, Daniel W.; Varadhan, S. R. S. 70 1972 Brownian motion in a wedge with oblique reflection. Zbl 0579.60082Varadhan, S. R. S.; Williams, R. J. 69 1985 Asymptotic evaluation of certain Markov process expectations for large time. II. Zbl 0348.60031Donsker, M. D.; Varadhan, S. R. S. 66 1975 Diffusion processes in a small time interval. Zbl 0278.60051Varadhan, S. R. S. 65 1967 On a variational formula for the principal eigenvalue for operators with maximum principle. Zbl 0353.49039Donsker, Monroe D.; Varadhan, S. R. S. 58 1975 The large deviation principle for the Erdős-Rényi random graph. Zbl 1230.05259Chatterjee, Sourav; Varadhan, S. R. S. 54 2011 Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101Olla, S.; Varadhan, S. R. S.; Yau, H. T. 51 1993 Asymptotics for the polaron. Zbl 0538.60081Donsker, M. D.; Varadhan, S. R. S. 51 1983 Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S. 50 2006 On the number of distinct sites visited by a random walk. Zbl 0418.60074Donsker, M. D.; Varadhan, S. R. S. 46 1979 On the principal eigenvalue of second-order elliptic differential operators. Zbl 0356.35065Donsker, M. D.; Varadhan, S. R. S. 44 1976 Large deviations. Zbl 1146.60003Varadhan, S. R. S. 42 2008 Probability distributions on locally compact Abelian groups. Zbl 0129.10902Parthasarathy, K. R.; Rao, R. Ranga; Varadhan, S. R. S. 42 1963 Diffusions with random coefficients. Zbl 0486.60076Papanicolaou, George C.; Varadhan, S. R. S. 41 1982 Probability theory. Zbl 0980.60002Varadhan, S. R. S. 36 2001 Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer 34 2000 Large deviations for random walks in a random environment. Zbl 1042.60071Varadhan, S. R. S. 33 2003 Lectures on diffusion problems and partial differential equations. Notes by Pl. Muthuramalingam, Tara R. Nanda. Zbl 0489.35002Varadhan, S. R. S. 32 1980 Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 0793.60105Varadhan, S. R. S. 28 1993 Asymptotic evaluation of certain Wiener integrals for large time. Zbl 0333.60078Donsker, 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 1144.35008Kosygina, Elena; Varadhan, S. R. S. 25 2008 On laws of the iterated logarithm for local times. Zbl 0356.60029Donsker, 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 0253.60065Papanicolaou, G. C.; Varadhan, S. R. S. 25 1973 Spectral gap for zero-range dynamics. Zbl 0870.60095Landim, 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 0816.60093Varadhan, S. R. S. 24 1995 Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027Donsker, M. D.; Varadhan, S. R. S. 23 1989 Large deviations for stationary Gaussian processes. Zbl 0646.60030Donsker, M. D.; Varadhan, S. R. S. 23 1985 Scaling limits for interacting diffusions. Zbl 0725.60085Varadhan, S. R. S. 22 1991 Finite approximations to quantum systems. Zbl 0855.47046Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S. 19 1994 Diffusion in regions with many small holes. Zbl 0485.60076Papanicolaou, G. C.; Varadhan, S. R. S. 19 1980 On the category of indecomposable distributions on topological groups. Zbl 0104.36205Parthasarathy, 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 0928.60087Quastel, J.; Rezakhanlou, F.; Varadhan, S. R. S. 18 1999 Nonconventional limit theorems in discrete and continuous time via martingales. Zbl 1304.60041Kifer, Yuri; Varadhan, S. R. S. 17 2014 Martingale approach to some limit theorems. Zbl 1316.60097Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 17 2012 Large deviations and entropy. Zbl 1163.60312Varadhan, S. R. S. 17 2003 Limit theorems for sums of independent random variables with values in a Hilbert space. Zbl 0113.34101Varadhan, S. 17 1962 Stochastic processes. Zbl 1133.60004Varadhan, S. R. S. 16 2007 A martingale proof of Dobrushin’s theorem for non-homogeneous Markov chains. Zbl 1111.60057Sethuraman, S.; Varadhan, S. R. S. 16 2005 Large deviations for diffusions interacting through their ranks. Zbl 1341.60010Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer 15 2016 Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089Varadhan, S. R. S.; Yau, Horng-Tzer 15 1997 Errata to: Asymptotics for the Wiener sausage. Zbl 0351.60070Donsker, M. D.; Varadhan, S. R. S. 15 1975 Scaling limit for interacting Ornstein-Uhlenbeck processes. Zbl 0725.60086Olla, Stefano; Varadhan, S. R. S. 14 1991 Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078Papanicolaou, G.; Varadhan, S. R. S. 14 1985 Limit theorems for random walks on Lie groups. Zbl 0299.60007Stroock, Daniel W.; Varadhan, S. R. S. 14 1973 Large deviations for the asymmetric simple exclusion process. Zbl 1114.60026Varadhan, Srinivasa R. S. 13 2004 Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093Landim, C.; Olla, S.; Varadhan, S. R. S. 13 2001 Diffusion processes with continuous coefficients. II. Zbl 0167.43904Stroock, Daniel W.; Varadhan, S. R. S. 12 1969 Asymptotic behavior of a tagged particle in simple exclusion processes. Zbl 0983.60100Landim, C.; Olla, S.; Varadhan, S. R. S. 11 2000 Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142Kohler, W.; Papanicolaou, G.; Varadhan, S. 11 1981 Brownian occupation measures, compactness and large deviations. Zbl 1364.60037Mukherjee, Chiranjib; Varadhan, S. R. S. 10 2016 Lectures on hydrodynamic scaling. Zbl 1060.82514Varadhan, S. R. S. 10 2000 Diffusion processes. Zbl 1316.60124Stroock, Daniel W.; Varadhan, S. R. S. 9 2012 On viscosity and fluctuation-dissipation in exclusion processes. Zbl 1157.82355Landim, C.; Olla, S.; Varadhan, S. R. S. 9 2004 Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306Papanicolaou, G. C.; Varadhan, S. R. S. 8 2012 A multidimensional process involving local time. Zbl 0613.60050Sznitman, A. S.; Varadhan, S. R. S. 8 1986 Some familiar examples for which the large deviation principle does not hold. Zbl 0749.60025Baxter, J. R.; Jain, N. C.; Varadhan, S. R. S. 7 1991 Large deviations and applications. Zbl 0661.60040Varadhan, Srinivasa R. S. 7 1988 Large deviations and applications. Zbl 0567.60030Varadhan, S. R. S. 7 1985 Kac functional and Schrödinger equation. Zbl 0448.60054Chung, Kai Lai; Varadhan, S. R. S. 7 1980 Nonconventional large deviations theorems. Zbl 1333.60042Kifer, Yuri; Varadhan, S. R. S. 6 2014 Large deviations for random matrices. Zbl 1331.60016Chatterjee, 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 0348.60033Donsker, M. D.; Varadhan, S. R. S. 5 1975 Diffusion processes. Zbl 0255.60055Stroock, Daniel W.; Varadhan, S. R. S. 5 1972 Extension of stationary stochastic processes. Zbl 0138.11001Parthasarathy, K. R.; Varadhan, S. R. S. 5 1964 Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. Zbl 1287.60117Sethuraman, Sunder; Varadhan, S. R. S. 4 2013 Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068Varadhan, S. R. S. 4 2012 On the support of diffusion processes with applications to the strong maximum principle. Zbl 1316.60123Stroock, Daniel W.; Varadhan, S. R. S. 4 2012 Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 1316.60112Kipnis, C.; Varadhan, S. R. S. 4 2012 Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. Zbl 1018.60097Landim, C.; Olla, S.; Varadhan, S. R. S. 4 2002 Relative entropy and mixing properties of interacting particle systems. Zbl 0884.60094Ramirez, A. F.; Varadhan, S. R. S. 4 1996 Regularity of self-diffusion coefficient. Zbl 0822.60089Varadhan, 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 0649.00016Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S. 4 1988 A probabilistic approach to H\(^p\)(R\(^d\)). Zbl 0289.60029Stroock, 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 1284.60004Azencott, 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 1316.35217Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 3 2012 Random walks in a random environment. Zbl 1077.60078Varadhan, S. R. S. 3 2004 Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S. 3 2004 Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators. Zbl 0907.47040Quastel, J.; Varadhan, S. R. S. 3 1997 Entropy methods in hydrodynamic scaling. Zbl 0791.60098Varadhan, S. R. S. 3 1993 Large deviations for noninteracting infinite-particle systems. Zbl 0682.60020Donsker, M. D.; Varadhan, S. R. S. 3 1987 A law of the iterated logarithm for total occupation times of transient Brownian motion. Zbl 0504.60037Donsker, 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 1442.60082Mukherjee, 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 1442.60082Mukherjee, Chiranjib; Varadhan, S. R. S. 2 2020 Large deviations for diffusions interacting through their ranks. Zbl 1341.60010Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer 15 2016 Brownian occupation measures, compactness and large deviations. Zbl 1364.60037Mukherjee, Chiranjib; Varadhan, S. R. S. 10 2016 Large deviations. Zbl 1377.60006Varadhan, S. R. S. 2 2016 Fluctuations of the self-normalized sum in the Curie-Weiss model of SOC. Zbl 1359.60038Gorny, Matthias; Varadhan, S. R. S. 1 2015 Nonconventional limit theorems in discrete and continuous time via martingales. Zbl 1304.60041Kifer, Yuri; Varadhan, S. R. S. 17 2014 Nonconventional large deviations theorems. Zbl 1333.60042Kifer, Yuri; Varadhan, S. R. S. 6 2014 Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. Zbl 1287.60117Sethuraman, 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 1284.60004Azencott, Robert; Freidlin, Mark I.; Varadhan, S. R. S. 3 2013 Entropy, large deviations, and scaling limits. Zbl 1290.60108Varadhan, S. R. S. 2 2013 Martingale approach to some limit theorems. Zbl 1316.60097Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 17 2012 Diffusion processes. Zbl 1316.60124Stroock, Daniel W.; Varadhan, S. R. S. 9 2012 Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306Papanicolaou, G. C.; Varadhan, S. R. S. 8 2012 Large deviations for random matrices. Zbl 1331.60016Chatterjee, Sourav; Varadhan, S. R. S. 5 2012 Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068Varadhan, S. R. S. 4 2012 On the support of diffusion processes with applications to the strong maximum principle. Zbl 1316.60123Stroock, Daniel W.; Varadhan, S. R. S. 4 2012 Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 1316.60112Kipnis, C.; Varadhan, S. R. S. 4 2012 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 3 2012 Brownian motion in a wedge with oblique reflection. Zbl 1316.60127Varadhan, S. R. S.; Williams, R. J. 2 2012 Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 1329.60345Varadhan, S. R. S. 1 2012 Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Zbl 1316.35020Kosygina, Elena; Varadhan, S. R. S. 1 2012 Large deviations for random walks in a random environment. Zbl 1316.60149Varadhan, S. R. S. 1 2012 Diffusion in regions with many small holes. Zbl 1316.60118Papanicolaou, G. C.; Varadhan, S. R. S. 1 2012 On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 1316.35134Stroock, Daniel W.; Varadhan, S. R. S. 1 2012 Probability distributions on locally compact abelian groups. Zbl 1316.60025Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S. 1 2012 Introduction. Zbl 1316.82005Varadhan, S. R. S. 1 2012 Autobiography: S. R. S. Varadhan. Zbl 1316.01022Varadhan, 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 1311.82004Varadhan, S. R. S. 1 2012 The large deviation principle for the Erdős-Rényi random graph. Zbl 1230.05259Chatterjee, Sourav; Varadhan, S. R. S. 54 2011 Large deviations and scaling limit. Zbl 1185.60024Varadhan, Srinivasa R. S. 1 2009 Large deviations. Zbl 1146.60003Varadhan, S. R. S. 42 2008 Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Zbl 1144.35008Kosygina, Elena; Varadhan, S. R. S. 25 2008 Behavior of the solution of a random semilinear heat equation. Zbl 1152.60077Varadhan, S. R. S.; Zygouras, Nikos 1 2008 Stochastic processes. Zbl 1133.60004Varadhan, S. R. S. 16 2007 Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005Stroock, Daniel W.; Varadhan, S. R. Srinivasa 118 2006 Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S. 50 2006 A martingale proof of Dobrushin’s theorem for non-homogeneous Markov chains. Zbl 1111.60057Sethuraman, S.; Varadhan, S. R. S. 16 2005 Large deviations for the asymmetric simple exclusion process. Zbl 1114.60026Varadhan, Srinivasa R. S. 13 2004 On viscosity and fluctuation-dissipation in exclusion processes. Zbl 1157.82355Landim, C.; Olla, S.; Varadhan, S. R. S. 9 2004 Random walks in a random environment. Zbl 1077.60078Varadhan, S. R. S. 3 2004 Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S. 3 2004 Large deviations for random walks in a random environment. Zbl 1042.60071Varadhan, S. R. S. 33 2003 Large deviations and entropy. Zbl 1163.60312Varadhan, S. R. S. 17 2003 Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. Zbl 1018.60097Landim, C.; Olla, S.; Varadhan, S. R. S. 4 2002 Probability theory. Zbl 0980.60002Varadhan, S. R. S. 36 2001 Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093Landim, C.; Olla, S.; Varadhan, S. R. S. 13 2001 Diffusion processes. Zbl 0986.60075Varadhan, S. R. S. 1 2001 Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer 34 2000 Asymptotic behavior of a tagged particle in simple exclusion processes. Zbl 0983.60100Landim, C.; Olla, S.; Varadhan, S. R. S. 11 2000 Lectures on hydrodynamic scaling. Zbl 1060.82514Varadhan, S. R. S. 10 2000 Infinite particle systems and their scaling limits. Zbl 1028.82516Varadhan, S. R. S. 1 2000 Hydrodynamic limits and related topics. Workshop, Toronto, Ontario, Canada, October 7–10, 1998. Zbl 0951.00042Feng, 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 0928.60087Quastel, J.; Rezakhanlou, F.; Varadhan, S. R. S. 18 1999 Large deviations for interacting particle systems. Zbl 0941.60096Varadhan, S. R. S. 1 1999 Probability theory and applications. Zbl 0932.60005Hsu, Elton P. (ed.); Varadhan, S. R. S. (ed.) 1 1999 Preface. Zbl 0924.01025Giaquinta, M.; Shatah, J.; Varadhan, S. R. S. 1 1999 Diffusive limit of lattice gas with mixing conditions. Zbl 0947.60089Varadhan, S. R. S.; Yau, Horng-Tzer 15 1997 Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators. Zbl 0907.47040Quastel, J.; Varadhan, S. R. S. 3 1997 Spectral gap for zero-range dynamics. Zbl 0870.60095Landim, C.; Sethuraman, S.; Varadhan, S. 24 1996 Relative entropy and mixing properties of interacting particle systems. Zbl 0884.60094Ramirez, A. F.; Varadhan, S. R. S. 4 1996 The complex story of simple exclusion. Zbl 0866.60092Varadhan, S. R. S. 2 1996 Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Zbl 0816.60093Varadhan, S. R. S. 24 1995 Entropy methods in hydrodynamic scaling. Zbl 0872.60081Varadhan, S. R. S. 2 1995 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 267 1994 Finite approximations to quantum systems. Zbl 0855.47046Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S. 19 1994 Regularity of self-diffusion coefficient. Zbl 0822.60089Varadhan, S. R. S. 4 1994 Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101Olla, S.; Varadhan, S. R. S.; Yau, H. T. 51 1993 Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 0793.60105Varadhan, S. R. S. 28 1993 Entropy methods in hydrodynamic scaling. Zbl 0791.60098Varadhan, S. R. S. 3 1993 Relative entropy and hydrodynamic limits. Zbl 0790.60094Varadhan, S. R. S. 2 1993 The ground state and maximum principle for second order elliptic operators in general domains. Zbl 0798.35038Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa 1 1993 Entropy methods in hydrodynamical scaling. Zbl 0947.82510Varadhan, S. R. S. 1 1992 Scaling limits for interacting diffusions. Zbl 0725.60085Varadhan, S. R. S. 22 1991 Scaling limit for interacting Ornstein-Uhlenbeck processes. Zbl 0725.60086Olla, Stefano; Varadhan, S. R. S. 14 1991 Some familiar examples for which the large deviation principle does not hold. Zbl 0749.60025Baxter, J. R.; Jain, N. C.; Varadhan, S. R. S. 7 1991 On the derivation of conservation laws for stochastic dynamics. Zbl 0699.60097Varadhan, S. R. S. 1 1990 Hydrodynamics and large deviation for simple exclusion processes. Zbl 0644.76001Kipnis, C.; Olla, S.; Varadhan, S. R. S. 77 1989 Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027Donsker, M. D.; Varadhan, S. R. S. 23 1989 Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. 100 1988 Large deviations and applications. Zbl 0661.60040Varadhan, 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 0649.00016Diaconis, P.; Nelson, E.; Elworthy, D.; Papanicolaou, G.; Föllmer, H.; Varadhan, S. R. S. 4 1988 Large deviations for noninteracting infinite-particle systems. Zbl 0682.60020Donsker, M. D.; Varadhan, S. R. S. 3 1987 Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 0588.60058Kipnis, C.; Varadhan, S. R. S. 257 1986 A multidimensional process involving local time. Zbl 0613.60050Sznitman, A. S.; Varadhan, S. R. S. 8 1986 Brownian motion in a wedge with oblique reflection. Zbl 0579.60082Varadhan, S. R. S.; Williams, R. J. 69 1985 Large deviations for stationary Gaussian processes. Zbl 0646.60030Donsker, M. D.; Varadhan, S. R. S. 23 1985 Ornstein-Uhlenbeck process in a random potential. Zbl 0617.60078Papanicolaou, G.; Varadhan, S. R. S. 14 1985 Large deviations and applications. Zbl 0567.60030Varadhan, S. R. S. 7 1985 Large deviations for stationary Gaussian processes. Zbl 0657.60036Donsker, M. D.; Varadhan, S. R. S. 2 1985 Central limit theorems for additive functionals of reversible Markov chains and applications. Zbl 0584.60043Kipnis, Claude; Varadhan, S. R. S. 2 1985 Large deviations and applications. Zbl 0549.60023Varadhan, S. R. S. 212 1984 Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068Donsker, M. D.; Varadhan, S. R. S. 72 1983 Asymptotics for the polaron. Zbl 0538.60081Donsker, M. D.; Varadhan, S. R. S. 51 1983 Diffusions with random coefficients. Zbl 0486.60076Papanicolaou, George C.; Varadhan, S. R. S. 41 1982 Large deviation asymptotics and the polaron. Zbl 0501.60034Donsker, M. D.; Varadhan, S. R. S. 1 1982 Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059Papanicolaou, G. C.; Varadhan, S. R. S. 79 1981 Boundary and interface problems in regions with very rough boundaries. Zbl 0467.73142Kohler, W.; Papanicolaou, G.; Varadhan, S. 11 1981 Some problems of large deviations. Zbl 0472.60028Donsker, M. D.; Varadhan, S. R. S. 2 1981 Lectures on diffusion problems and partial differential equations. Notes by Pl. Muthuramalingam, Tara R. Nanda. Zbl 0489.35002Varadhan, S. R. S. 32 1980 Diffusion in regions with many small holes. Zbl 0485.60076Papanicolaou, G. C.; Varadhan, S. R. S. 19 1980 ...and 35 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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