Collected Papers II: PDE, SDE, Diffusions, Random Media - Hardcover

Varadhan, S.R.S.

 
9783642335457: Collected Papers II: PDE, SDE, Diffusions, Random Media

Synopsis

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. 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.

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About the Author

Rajendra Bhatia is Professor of Mathematics at the Indian Statistical Institute in New Delhi, India. He is the author of five books including "Matrix Analysis" and "Positive Definite Matrices".

From the Back Cover

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.

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