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✦   LIBER   ✦

Multidimensional diffusion processes

✍ Scribed by Daniel W. Stroock, S.R. S. Varadhan


Book ID
127426405
Publisher
Springer
Year
2006
Tongue
English
Weight
2 MB
Series
Grundlehren der mathematischen Wissenschaften 233
Category
Library
City
Berlin; New York
ISBN
3540289992

No coin nor oath required. For personal study only.

✦ Synopsis


"This book is an excellent presentation of the application of martingale theory to the theory of Markov processes, especially multidimensional diffusions. This approach was initiated by Stroock and Varadhan in their famous papers. (...) The proofs and techniques are presented in such a way that an adaptation in other contexts can be easily done. (...) The reader must be familiar with standard probability theory and measure theory which are summarized at the beginning of the book. This monograph can be recommended to graduate students and research workers but also to all interested in Markov processes from a more theoretical point of view." Mathematische Operationsforschung und Statistik, 1981


πŸ“œ SIMILAR VOLUMES


Multidimensional singular diffusion
✍ J. R. King πŸ“‚ Article πŸ“… 1993 πŸ› Springer 🌐 English βš– 938 KB

We consider the nonlinear diffusion equation u, = V(u -"Vu) for dimension N -2 in the cases n > 1, N = 2 and n -1, N -3 in which there are no finite mass solutions. We concentrate on the physically motivated case of a small but non-zero background concentration, using asymptotic methods to analyse t