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Semiclassical Analysis for Diffusions and Stochastic Processes (Lecture Notes in Mathematics)

Posted on 2010-04-13




Name:Semiclassical Analysis for Diffusions and Stochastic Processes (Lecture Notes in Mathematics)
ASIN/ISBN:3540669728
Author:Vassili N. Kolokoltsov
Publisher:Springer (2000)
Language:English
Pages:Paperback, 347 pages
File size:2.09 Mb
   Semiclassical Analysis for Diffusions and Stochastic Processes (Lecture Notes in Mathematics)

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Author: Vassili N. Kolokoltsov


Publisher: Springer (2000)


Binding: Paperback, 347 pages


pricer: $74.95


ISBN-10: 3540669728


editorialreviews

The monograph is devoted mainly to the analytical study of the differential, pseudo-differential and stochastic evolution equations describing the transition probabilities of various Markov processes. These include (i) diffusions (in particular,degenerate diffusions), (ii) more general jump-diffusions, especially stable jump-diffusions driven by stable Lvy processes, (iii) complex stochastic Schrdinger equations which correspond to models of quantum open systems. The main results of the book concern the existence, two-sided estimates, path integral representation, and small time and semiclassical asymptotics for the Green functions (or fundamental solutions) of these equations, which represent the transition probability densities of the corresponding random process. The boundary value problem for Hamiltonian systems and some spectral asymptotics ar also discussed. Readers should have an elementary knowledge of probability, complex and functional analysis, and calculus.




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