Edit Profile (opens in new tab) Varadhan, S. R. Srinivasa Compute Distance To: Compute Author ID: varadhan.s-r-srinivasa Published as: Varadhan, S. R. S.; Varadhan, Srinivasa R. S.; Varadhan, S.; Varadhan, S. R. Srinivasa; Varadhan, Srinivasa; Srinivasa Varadhan, S. R.; Varadhan, Srinivasa S. R.; Varadan, S. R. S. Further Spellings: Varadhan, Sathamangalam Ranga Iyengar Srinivasa Homepage: http://math.nyu.edu/faculty/varadhan/ External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 226 Publications since 1962, including 15 Books 8 Contributions as Editor · 5 Further Contributions Biographic References: 12 Publications Co-Authors: 58 Co-Authors with 157 Joint Publications 1,783 Co-Co-Authors all top 5 Co-Authors 81 single-authored 29 Stroock, Daniel W. 25 Donsker, Monroe D. 16 Olla, Stefano 16 Papanicolaou, George C. 12 Landim, Claudio 10 Parthasarathy, Kalyanapuram Rangachari 8 Sethuraman, Sunder 8 Yau, Horng-Tzer 5 Berestycki, Henri 5 Kipnis, Claude P. 5 Nirenberg, Louis 4 Bhatia, Rajendra 4 Bhatt, Abhay G. 4 Kosygina, Elena 4 Mukherjee, Chiranjib 4 Quastel, Jeremy 4 Ranga Rao, R. 4 Rezakhanlou, Fraydoun 3 Digernes, Trond 3 Kifer, Yuri 3 Shatah, Jalal 2 Chatterjee, Sourav 2 Chung, Kai Lai 2 Giaquinta, Mariano 2 Gopinath, B. 2 Gubner, John A. 2 Guo, Maozheng 2 Itō, Kiyosi 2 Lax, Peter David 2 Ramírez, Alejandro F. 2 Sznitman, Alain-Sol 2 Varadarajan, Veeravalli S. 2 Williams, Ruth J. 2 Zygouras, Nikolaos 1 Agmon, Shmuel 1 Alpern, Steve 1 Atiyah, Michael Francis 1 Avellaneda, Marco 1 Azencott, Robert 1 Baxter, John Robert 1 Birindelli, Isabeau 1 Bitzenhofer, N. 1 Blasius, Don 1 Brézis, Haïm 1 Burkholder, Donald L. 1 Caffarelli, Luis Ángel 1 Carleson, Lennart 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Chayes, Jennifer Tour 1 Guedes de Figueiredo, Djairo 1 Deligne, Pierre René 1 Dembo, Amir 1 Diaconis, Persi Warren 1 Dinges, Hermann 1 Doob, Joseph Leonard 1 Durrett, Richard Timothy 1 Dynkin, Evgeniĭ Borisovich 1 Ekeland, Ivar 1 Elworthy, David 1 Fefferman, Charles Louis 1 Feng, Shui 1 Fioresi, Rita 1 Föllmer, Hans 1 Freidlin, Mark I. 1 Gangolli, Ramesh 1 Gorny, Matthias 1 Gromov, Mikhael Leonidovich 1 Hansen, Wolfhard 1 Hsu, Elton P. 1 Jain, Naresh C. 1 Jensen, Leif 1 Joshua, Varghese C. 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Knight, Frank Bardsley 1 Kohler, Werner E. 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Lawniczak, Anna T. 1 Li, YanYan 1 Lin, Fang Hua 1 Meyer, Paul-André 1 Milnor, John Willard 1 Moser, Jürgen K. 1 Nash, John Forbes jun. 1 Nelson, Joseph Edward 1 Ni, Wei-Ming 1 1 Phillips, Edward S. 1 Presman, Ernst L. 1 Puha, Amber L. 1 Rabinowitz, Paul Henry 1 Rapoport, Michael 1 Raussen, Martin 1 Rost, Hermann 1 Serre, Jean-Pierre 1 Shiryaev, Al’bert Nikolaevich 1 Shkolnikov, Mykhaylo 1 Sinaĭ, Yakov Grigor’evich ...and 14 more Co-Authors 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 4 Courant Lecture Notes in Mathematics 3 Probability Theory and Related Fields 3 Bulletin of the American Mathematical Society. New Series 2 The Mathematics Student 2 Sankhyā. Series A. Methods and Techniques 2 Transactions of the American Mathematical Society 2 Expositiones Mathematicae 2 Notices of the American Mathematical Society 2 Lecture Notes in Mathematics 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 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 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research 1 Proceedings of Symposia in Pure Mathematics 1 IAS/Park City Mathematics Series 1 Communications on Stochastic Analysis 1 Mathematics Newsletter 1 Springer Proceedings in Mathematics & Statistics 1 Infosys Science Foundation Series 1 Classics in Mathematics all top 5 Fields 200 Probability theory and stochastic processes (60-XX) 65 Statistical mechanics, structure of matter (82-XX) 29 Partial differential equations (35-XX) 15 History and biography (01-XX) 9 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 Harmonic analysis on Euclidean spaces (42-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 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 Open 137 Publications have been cited 4,674 times in 3,621 Documents Cited by ▼ Year ▼ Multidimensional diffusion processes. Zbl 0426.60069Stroock, Daniel W.; Varadhan, S. R. Srinivasa 552 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. 294 1994 Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 0588.60058Kipnis, C.; Varadhan, S. R. S. 276 1986 Asymptotic evaluation of certain Markov process expectations for large time. I. Zbl 0323.60069Donsker, M. D.; Varadhan, S. R. S. 206 1975 Large deviations and applications. Zbl 0549.60023Varadhan, S. R. S. 201 1984 Asymptotic evaluation of certain Markov process expectations for large time. III. Zbl 0348.60032Donsker, M. D.; Varadhan, S. R. S. 161 1976 Asymptotic probabilities and differential equations. Zbl 0147.15503Varadhan, S. R. S. 158 1966 Diffusion processes with boundary conditions. Zbl 0227.76131Stroock, Daniel W.; Varadhan, S. R. S. 127 1971 Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005Stroock, Daniel W.; Varadhan, S. R. Srinivasa 123 2006 On the support of diffusion processes with applications to the strong maximum principle. Zbl 0255.60056Stroock, Daniel W.; Varadhan, S. R. S. 114 1972 Diffusion processes with continuous coefficients. I. Zbl 0167.43903Stroock, Daniel W.; Varadhan, S. R. S. 114 1969 Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. 105 1988 On the behavior of the fundamental solution of the heat equation with variable coefficients. Zbl 0155.16503Varadhan, S. R. S. 99 1967 Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068Donsker, M. D.; Varadhan, S. R. S. 90 1983 Asymptotic for the Wiener sausage. Zbl 0333.60077Donsker, M. D.; Varadhan, S. R. S. 85 1975 Hydrodynamics and large deviation for simple exclusion processes. Zbl 0644.76001Kipnis, C.; Olla, S.; Varadhan, S. R. S. 84 1989 Asymptotic evaluation of certain Markov process expectations for large time. II. Zbl 0348.60031Donsker, M. D.; Varadhan, S. R. S. 79 1975 Brownian motion in a wedge with oblique reflection. Zbl 0579.60082Varadhan, S. R. S.; Williams, R. J. 75 1985 Boundary value problems with rapidly oscillating random coefficients. Zbl 0499.60059Papanicolaou, G. C.; Varadhan, S. R. S. 73 1981 On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 0344.35041Stroock, Daniel W.; Varadhan, S. R. S. 71 1972 Diffusion processes in a small time interval. Zbl 0278.60051Varadhan, S. R. S. 68 1967 On a variational formula for the principal eigenvalue for operators with maximum principle. Zbl 0353.49039Donsker, Monroe D.; Varadhan, S. R. S. 67 1975 The large deviation principle for the Erdős-Rényi random graph. Zbl 1230.05259Chatterjee, Sourav; Varadhan, S. R. S. 61 2011 Martingale approach to some limit theorems. Zbl 0387.60067Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 61 1977 Asymptotics for the polaron. Zbl 0538.60081Donsker, M. D.; Varadhan, S. R. S. 60 1983 Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S. 55 2006 Hydrodynamical limit for a Hamiltonian system with weak noise. Zbl 0781.60101Olla, S.; Varadhan, S. R. S.; Yau, H. T. 53 1993 On the number of distinct sites visited by a random walk. Zbl 0418.60074Donsker, M. D.; Varadhan, S. R. S. 51 1979 On the principal eigenvalue of second-order elliptic differential operators. Zbl 0356.35065Donsker, M. D.; Varadhan, S. R. S. 46 1976 Large deviations. Zbl 1146.60003Varadhan, S. R. S. 46 2008 Probability distributions on locally compact Abelian groups. Zbl 0129.10902Parthasarathy, K. R.; Rao, R. Ranga; Varadhan, S. R. S. 41 1963 Probability theory. Zbl 0980.60002Varadhan, S. R. S. 38 2001 Diffusions with random coefficients. Zbl 0486.60076Papanicolaou, George C.; Varadhan, S. R. S. 36 1982 Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Zbl 1029.60084Sethuraman, Sunder; Varadhan, S. R. S.; Yau, Horng-Tzer 35 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. 29 1993 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. 28 2008 Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Zbl 0816.60093Varadhan, S. R. S. 25 1995 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 On laws of the iterated logarithm for local times. Zbl 0356.60029Donsker, M. D.; Varadhan, S. R. S. 25 1977 Spectral gap for zero-range dynamics. Zbl 0870.60095Landim, C.; Sethuraman, S.; Varadhan, S. 25 1996 Large deviations for stationary Gaussian processes. Zbl 0646.60030Donsker, M. D.; Varadhan, S. R. S. 24 1985 Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027Donsker, M. D.; Varadhan, S. R. S. 24 1989 Asymptotic evaluation of certain Wiener integrals for large time. Zbl 0333.60078Donsker, M. D.; Varadhan, S. R. S. 23 1975 Scaling limits for interacting diffusions. Zbl 0725.60085Varadhan, S. R. S. 23 1991 Finite approximations to quantum systems. Zbl 0855.47046Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S. 21 1994 On the category of indecomposable distributions on topological groups. Zbl 0104.36205Parthasarathy, K. R.; Ranga Rao, R.; Varadhan, S. R. S. 21 1962 Diffusion in regions with many small holes. Zbl 0485.60076Papanicolaou, G. C.; Varadhan, S. R. S. 19 1980 Martingale approach to some limit theorems. Zbl 1316.60097Papanicolaou, G. C.; Stroock, Daniel W.; Varadhan, S. R. S. 18 2012 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. 18 2014 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 Large deviations for diffusions interacting through their ranks. Zbl 1341.60010Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer 16 2016 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. 16 2004 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 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 Brownian occupation measures, compactness and large deviations. Zbl 1364.60037Mukherjee, Chiranjib; Varadhan, S. R. S. 14 2016 Scaling limit for interacting Ornstein-Uhlenbeck processes. Zbl 0725.60086Olla, Stefano; Varadhan, S. R. S. 14 1991 Diffusion processes with continuous coefficients. II. Zbl 0167.43904Stroock, Daniel W.; Varadhan, S. R. S. 13 1969 Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093Landim, C.; Olla, S.; Varadhan, S. R. S. 12 2001 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 Stochastic processes. Zbl 1133.60004Varadhan, S. R. S. 10 2007 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 A multidimensional process involving local time. Zbl 0613.60050Sznitman, A. S.; Varadhan, S. R. S. 8 1986 Boundary value problems with rapidly oscillating random coefficients. Zbl 1316.35306Papanicolaou, G. C.; Varadhan, S. R. S. 8 2012 Large deviations and applications. Zbl 0661.60040Varadhan, Srinivasa R. S. 8 1988 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 Kac functional and Schrödinger equation. Zbl 0448.60054Chung, Kai Lai; Varadhan, S. R. S. 7 1980 Large deviations and applications. Zbl 0567.60030Varadhan, S. R. S. 6 1985 Large deviations for random matrices. Zbl 1331.60016Chatterjee, Sourav; Varadhan, S. R. S. 6 2012 Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion. Zbl 1287.60117Sethuraman, Sunder; Varadhan, S. R. S. 6 2013 Nonconventional large deviations theorems. Zbl 1333.60042Kifer, Yuri; Varadhan, S. R. S. 6 2014 A probabilistic approach to H\(^p\)(R\(^d\)). Zbl 0289.60029Stroock, Daniel W.; Varadhan, S. R. S. 5 1974 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 Extension of stationary stochastic processes. Zbl 0138.11001Parthasarathy, K. R.; Varadhan, S. R. S. 5 1964 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 On the support of diffusion processes with applications to the strong maximum principle. Zbl 1316.60123Stroock, Daniel W.; Varadhan, S. R. S. 4 2012 Regularity of self-diffusion coefficient. Zbl 0822.60089Varadhan, S. R. S. 4 1994 Diffusion processes. Zbl 0255.60055Stroock, Daniel W.; Varadhan, S. R. S. 4 1972 Relative entropy and mixing properties of interacting particle systems. Zbl 0884.60094Ramirez, A. F.; Varadhan, S. R. S. 4 1996 Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068Varadhan, 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. 3 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 Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S. 3 2004 Random walks in a random environment. Zbl 1077.60078Varadhan, S. R. S. 3 2004 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 Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators. Zbl 0907.47040Quastel, J.; Varadhan, S. R. S. 3 1997 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. 3 2020 Identification of the polaron measure in strong coupling and the Pekar variational formula. Zbl 1456.60211Mukherjee, Chiranjib; Varadhan, S. R. S. 3 2020 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 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. 3 2020 Identification of the polaron measure in strong coupling and the Pekar variational formula. Zbl 1456.60211Mukherjee, Chiranjib; Varadhan, S. R. S. 3 2020 Large deviations for diffusions interacting through their ranks. Zbl 1341.60010Dembo, Amir; Shkolnikov, Mykhaylo; Varadhan, S. R. Srinivasa; Zeitouni, Ofer 16 2016 Brownian occupation measures, compactness and large deviations. Zbl 1364.60037Mukherjee, Chiranjib; Varadhan, S. R. S. 14 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. 18 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. 6 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. 18 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. 6 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 Book review of: J. Feng and T. G. Kurtz, Large deviations for stochastic processes. Zbl 1321.00068Varadhan, 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. 3 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 Autobiography: S. R. S. Varadhan. Zbl 1316.01022Varadhan, S. R. S. 1 2012 Introduction. Zbl 1316.82005Varadhan, 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 On degenerate elliptic-parabolic operators of second order and their associated diffusions. Zbl 1316.35134Stroock, Daniel W.; Varadhan, S. R. S. 1 2012 Kac functional and Schrödinger equation. Zbl 1316.60117Chung, Kai Lai; Varadhan, S. R. S. 1 2012 Brownian motion in a wedge with oblique reflection. Zbl 1316.60127Varadhan, S. R. S.; Williams, R. J. 1 2012 Diffusion in regions with many small holes. Zbl 1316.60118Papanicolaou, G. C.; Varadhan, S. R. S. 1 2012 Large deviations for random walks in a random environment. Zbl 1316.60149Varadhan, 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 Interview with Srinivasa Varadhan. Zbl 1384.01079Sujatha, R. 1 2012 Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 1329.60345Varadhan, 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. 61 2011 Large deviations and scaling limit. Zbl 1185.60024Varadhan, Srinivasa R. S. 1 2009 Large deviations. Zbl 1146.60003Varadhan, S. R. S. 46 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. 28 2008 Behavior of the solution of a random semilinear heat equation. Zbl 1152.60077Varadhan, S. R. S.; Zygouras, Nikos 2 2008 Stochastic processes. Zbl 1133.60004Varadhan, S. R. S. 10 2007 Multidimensional diffusion processes. Reprint of the 2nd correted printing (1997). Zbl 1103.60005Stroock, Daniel W.; Varadhan, S. R. Srinivasa 123 2006 Stochastic homogenization of Hamilton-Jacobi-Bellman equations. Zbl 1111.60055Kosygina, Elena; Rezakhanlou, Fraydoun; Varadhan, S. R. S. 55 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. 16 2004 On viscosity and fluctuation-dissipation in exclusion processes. Zbl 1157.82355Landim, C.; Olla, S.; Varadhan, S. R. S. 9 2004 Diffusive behaviour of the equilibrium fluctuations in the asymmetric exclusion processes. Zbl 1080.60094Landim, Claudio; Olla, Stefano; Varadhan, Srinivasa R. S. 3 2004 Random walks in a random environment. Zbl 1077.60078Varadhan, S. 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. 2 2002 Probability theory. Zbl 0980.60002Varadhan, S. R. S. 38 2001 Symmetric simple exclusion process: Regularity of the self-diffusion coefficient. Zbl 0994.60093Landim, C.; Olla, S.; Varadhan, S. R. S. 12 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 35 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 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 Preface. Zbl 0924.01025Giaquinta, M.; Shatah, J.; Varadhan, S. R. S. 1 1999 Large deviations for interacting particle systems. Zbl 0941.60096Varadhan, 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. 25 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. 25 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. 294 1994 Finite approximations to quantum systems. Zbl 0855.47046Digernes, Trond; Varadarajan, V. S.; Varadhan, S. R. S. 21 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. 53 1993 Nonlinear diffusion limit for a system with nearest neighbor interactions. II. Zbl 0793.60105Varadhan, S. R. S. 29 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. (État fondamental et principe du maximum pour les opérateurs elliptiques du second ordre dans des domaines généraux.) 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. 23 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. 84 1989 Large deviations from a hydrodynamic scaling limit. Zbl 0780.60027Donsker, M. D.; Varadhan, S. R. S. 24 1989 Nonlinear diffusion limit for a system with nearest neighbor interactions. Zbl 0652.60107Guo, M. Z.; Papanicolaou, G. C.; Varadhan, S. R. S. 105 1988 Large deviations and applications. Zbl 0661.60040Varadhan, Srinivasa R. S. 8 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 Selected papers. Ed. by Daniel W. Stroock and S. R. S. Varadhan. Zbl 0621.01019Itô, Kiyosi 2 1987 Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Zbl 0588.60058Kipnis, C.; Varadhan, S. R. S. 276 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. 75 1985 Large deviations for stationary Gaussian processes. Zbl 0646.60030Donsker, M. D.; Varadhan, S. R. S. 24 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. 6 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. 201 1984 Asymptotic evaluation of certain Markov process expectations for large time. IV. Zbl 0512.60068Donsker, M. D.; Varadhan, S. R. S. 90 1983 Asymptotics for the polaron. Zbl 0538.60081Donsker, M. D.; Varadhan, S. R. S. 60 1983 Diffusions with random coefficients. Zbl 0486.60076Papanicolaou, George C.; Varadhan, S. R. S. 36 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. 73 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 ...and 37 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,570 Authors 38 Landim, Claudio 33 Olla, Stefano 27 Jara, Milton D. 27 Varadhan, S. R. Srinivasa 23 Stroock, Daniel W. 22 Zhu, Lingjiong 20 Berestycki, Henri 20 Röckner, Michael 20 Yavin, Yaakov 19 Komorowski, Tomasz 19 Seppäläinen, Timo 18 Hamel, François 18 Lebowitz, Joel Louis 17 Deuschel, Jean-Dominique 17 Kifer, Yuri 16 Bertini, Lorenzo Bertini 16 Burdzy, Krzysztof 16 Chen, Zhen-Qing 16 Souganidis, Panagiotis E. 15 Albeverio, Sergio A. 15 Bass, Richard F. 15 Bismut, Jean-Michel 15 Dawson, Donald Andrew 15 Pardoux, Etienne 15 Sethuraman, Sunder 15 Takeda, Masayoshi 14 Birindelli, Isabeau 14 Yau, Horng-Tzer 14 Zhang, Tusheng S. 13 Armstrong, Scott N. 13 Bernardin, Cédric 13 Biswas, Anup 13 Chen, Xia 13 Flandoli, Franco 13 Gabrielli, Davide 13 Gonçalves, Patrícia C. 13 König, Wolfgang Dieter 13 Sznitman, Alain-Sol 13 Wu, Liming 12 Dupuis, Paul G. 12 Funaki, Tadahisa 12 Hairer, Martin 12 Spohn, Herbert 12 Yilmaz, Atilla 11 Derrida, Bernard 11 Jona-Lasinio, Giovanni 11 Kumagai, Takashi 11 Mogul’skii, Anatolii Alfredovich 11 Peligrad, Magda 11 Quastel, Jeremy 11 Rassoul-Agha, Firas 11 Russo, Francesco 11 Sirakov, Boyan Slavchev 11 Vitolo, Antonio 11 Zeitouni, Ofer 10 Bolthausen, Erwin 10 Coville, Jerome 10 den Hollander, Frank 10 Friz, Peter Karl 10 Gloria, Antoine 10 Maes, Christian 10 Mourrat, Jean-Christophe 10 Papanicolaou, George C. 10 Shaposhnikov, Stanislav V. 10 Williams, Ruth J. 9 Arapostathis, Aristotle 9 Capuzzo Dolcetta, Italo 9 Faggionato, Alessandra 9 Karatzas, Ioannis 9 Lions, Pierre-Louis 9 Macci, Claudio 9 Rossi, Luca 9 Seiringer, Robert 9 Tran Vinh Hung 9 Zhu, Chao 8 Asselah, Amine 8 Ben Arous, Gérard 8 Berger, Noam 8 Biskup, Marek 8 Borkar, Vivek Shripad 8 Borovkov, Aleksandr Alekseevich 8 Cardaliaguet, Pierre 8 Dembo, Amir 8 Ellis, Richard Salisbury 8 Fukushima, Ryoki 8 Kusuoka, Shigeo 8 Magnanini, Rolando 8 Nadirashvili, Nikolai S. 8 Otto, Felix 8 Pulé, Joseph V. 8 Quaas, Alexander 8 Redig, Frank 8 Rezakhanlou, Fraydoun 8 Sanz-Solé, Marta 8 Tóth, Bálint 8 Touzi, Nizar 8 Veretennikov, Alexander Yu. 8 Vo, Hoang-Hung 7 Bodineau, Thierry 7 Budhiraja, Amarjit S. ...and 3,470 more Authors all top 5 Cited in 443 Serials 230 Stochastic Processes and their Applications 202 Probability Theory and Related Fields 193 Journal of Statistical Physics 189 The Annals of Probability 124 Communications in Mathematical Physics 112 The Annals of Applied Probability 90 Journal of Functional Analysis 81 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 80 Journal of Differential Equations 67 Journal of Theoretical Probability 64 Journal of Mathematical Analysis and Applications 64 Transactions of the American Mathematical Society 62 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 57 Statistics & Probability Letters 44 Communications on Pure and Applied Mathematics 40 Journal of Mathematical Physics 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 35 Communications in Partial Differential Equations 33 Electronic Journal of Probability 30 Archive for Rational Mechanics and Analysis 27 Stochastic Analysis and Applications 26 Applied Mathematics and Optimization 25 Stochastics 25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 25 Journal de Mathématiques Pures et Appliquées. 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Latin American Journal of Probability and Mathematical Statistics 8 Journal of Computational Physics 8 Mathematical Notes 8 Theoretical and Mathematical Physics 8 Applied Mathematics and Computation 8 Journal of Soviet Mathematics 8 Mathematische Nachrichten 8 Mathematische Zeitschrift 8 Acta Applicandae Mathematicae 8 Journal of Dynamics and Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 Communications in Contemporary Mathematics 8 Annales Henri Poincaré 8 Journal of Evolution Equations 8 Nonlinear Analysis. Theory, Methods & Applications 7 International Journal of Systems Science 7 Journal d’Analyse Mathématique 7 Letters in Mathematical Physics 7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 7 Inventiones Mathematicae 7 Journal of Computational and Applied Mathematics 7 Journal of the Mathematical Society of Japan 7 Forum Mathematicum ...and 343 more Serials all top 5 Cited in 56 Fields 2,549 Probability theory and stochastic processes (60-XX) 991 Partial differential equations (35-XX) 632 Statistical mechanics, structure of matter (82-XX) 181 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 181 Systems theory; control (93-XX) 169 Operator theory (47-XX) 167 Numerical analysis (65-XX) 166 Statistics (62-XX) 157 Global analysis, analysis on manifolds (58-XX) 153 Dynamical systems and ergodic theory (37-XX) 133 Quantum theory (81-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 124 Biology and other natural sciences (92-XX) 112 Fluid mechanics (76-XX) 85 Ordinary differential equations (34-XX) 81 Combinatorics (05-XX) 59 Operations research, mathematical programming (90-XX) 50 Measure and integration (28-XX) 49 Functional analysis (46-XX) 45 Potential theory (31-XX) 43 Differential geometry (53-XX) 39 Computer science (68-XX) 36 Mechanics of deformable solids (74-XX) 35 Information and communication theory, circuits (94-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 31 Integral equations (45-XX) 21 Abstract harmonic analysis (43-XX) 20 Topological groups, Lie groups (22-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Difference and functional equations (39-XX) 18 Approximations and expansions (41-XX) 17 Real functions (26-XX) 16 Mechanics of particles and systems (70-XX) 13 Number theory (11-XX) 12 Functions of a complex variable (30-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Convex and discrete geometry (52-XX) 11 Optics, electromagnetic theory (78-XX) 9 Mathematical logic and foundations (03-XX) 8 Group theory and generalizations (20-XX) 8 General topology (54-XX) 7 Special functions (33-XX) 7 Geophysics (86-XX) 6 Integral transforms, operational calculus (44-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Relativity and gravitational theory (83-XX) 3 Nonassociative rings and algebras (17-XX) 3 Geometry (51-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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