Title: Generalized Diffusion Processes (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 1990
Language: English
ISBN 10: 0821845381
ISBN 13: 9780821845387
Binding: Hardcover
Condition: good

About this title

Synopsis

Diffusion processes serve as a mathematical model for the physical phenomenon of diffusion. One of the most important problems in the theory of diffusion processes is the development of methods for constructing these processes from a given diffusion matrix and a given drift vector. Focusing on the investigation of this problem, this book is intended for specialists in the theory of random processes and its applications. A generalized diffusion process (that is, a continuous Markov process for which the Kolmogorov local characteristics exist in the generalized sense) can serve as a model for diffusion in a medium moving in a nonregular way. The author constructs generalized diffusion processes under two assumptions: first, that the diffusion matrix is sufficiently regular; and second, that the drift vector is a function integrable to some power, or is a generalized function of the type of the derivative of a measure.

Language Notes

Text: English (translation)
Original Language: Russian

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