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9783642335471: Particle Systems and Their Large Deviations

Synopsis

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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À propos de l?auteur

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".

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Varadhan, S. R. S./ Bhatia, Rajendra (Editor)/ Bhatt, Abhay (Editor)/ Parthasarathy, K. R. (Editor)
Edité par Springer Verlag, 2013
ISBN 10 : 3642335470 ISBN 13 : 9783642335471
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S.R.S. Varadhan
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ISBN 10 : 3642335470 ISBN 13 : 9783642335471
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S.R.S. Varadhan
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Gebunden. Etat : New. With contributions by international experts Provides a comprehensive and structured overview of the works of Professor VaradhanUseful as a self-study guideRajendra Bhatia is Professor of Mathematics at the Indian Statistical Institu. N° de réf. du vendeur 5057306

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S. R. S. Varadhan
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Buch. Etat : Neu. Neuware - 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 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 reputationas 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.VolumeIV includes the papers on particle systems. N° de réf. du vendeur 9783642335471

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Varadhan, S. R. S./ Bhatia, Rajendra (Editor)/ Bhatt, Abhay (Editor)/ Parthasarathy, K. R. (Editor)
Edité par Springer Verlag, 2013
ISBN 10 : 3642335470 ISBN 13 : 9783642335471
Neuf Couverture rigide

Vendeur : Revaluation Books, Exeter, Royaume-Uni

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Hardcover. Etat : new. Hardcover. 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 Sankhya, 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 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 reputationas 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. Volume IV includes 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783642335471

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