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Volume I includes the introductory material, the papers on limit theorems and review articles. Volume II features Varadhan's papers on PDE, SDE, diffusions, and random media. Volume III covers the papers on large deviations. Volume IV collects the papers on particle systems.
From the Preface: Srinivasa Varadhan began his research career at the Indian Statistical Institute (ISI), Calcutta, where he started as a graduate student in 1959. His first paper appeared in Sankhyá, the Indian Journal of Statistics in 1962. Together with his fellow students V. S. Varadarajan, R. Ranga Rao and K. R. Parthasarathy, Varadhan began the study of probability on topological groups and on Hilbert spaces, and quickly gained an international reputation. At this time Varadhan realised that there are strong connections between Markov processes and differential equations, and in 1963 he came to the Courant Institute in New York, where he has stayed ever since. Here he began working with the probabilists Monroe Donsker and Marc Kac, and with a graduate student named Daniel Stroock. He wrote a series of papers on the Martingale Problem and Diffusions together with Stroock, and another series of papers on Large Deviations together with Donsker. With this work Varadhan's reputation as one of the leading mathematicians of the time was firmly established. Since then he has contributed to several other areas of probability, analysis and physics, and collaborated with numerous distinguished mathematicians. Varadhan was awarded the Abel Prize in 2007. These Collected Works contain all his research papers over the half-century spanning 1962 to early 2012.
List of contents
Vol.I: Autobiography. - Prize Citations. - Limit Theorems. - Review Articles. - Vol.II: PDE, SDE, Diffusions, Random Media. - Vol.III: Large Deviations. - Vol.IV: Particle Systems and their Large Deviations. - List of Publications of S.R.S. Varadhan. - Acknowledgements.
About the author
Kalyanapuram Rangachari Parthasarathy was professor of statistics at the University of Manchester (1968-70), the University of Bombay (1970-76) and the Indian Statistical Institute Delhi Centre (1977-96) where he was also CV Raman Professor of INSA (1996-2001). Now he is Emeritus Scientist at the Indian Statistical Institute in New Delhi.
Summary
S.R.S. Varadhan’s entered the Indian Statistical Institute (ISI), Calcutta, as a graduate student in 1959. His first paper appeared in Sankhyá, the Indian Journal of Statistics in 1962. Together with his fellow students V.S. Varadarajan, R. Ranga Rao and K.R. Parthasarathy, Varadhan began the study of probability on topological groups and on Hilbert spaces, and was soon noticed internationally. He understood then the strong connections between Markov processes and differential equations. From 1963 he worked at NYU’s Courant Institute with the probabilists Monroe Donsker and Marc Kac, and with Daniel Stroock, who was to be a lifelong collaborator. They wrote a series of papers on the Martingale Problem and Diffusions together, and later their evergreen joint book, Multidimensional Diffusion Processes(Springer). A famous series of joint papers with Donsker on Large Deviations also emerged. This work firmly established Varadhan's reputation as one of a leading mathematicians of his time. He contributed to other areas of probability, analysis and physics. Varadhan was awarded the Abel Prize in 2007.
These Collected Works contain all his research papers over the half-century spanning 1962 to early 2012
