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.
Les mer
Volume II features Varadhan's papers on PDE, SDE, diffusions, and random media.​​ Volume III covers the papers on large deviations. 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.
Les mer
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.
Les mer
With contributions by international experts Provides a comprehensive and structured overview of the works of Professor Varadhan Useful as a self-study guide

Produktdetaljer

ISBN
9783642332319
Publisert
2013-06-04
Utgiver
Vendor
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Høyde
160 mm
Bredde
250 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Annet

Forfatter