Hyperfinite Dirichlet Forms and Stochastic Processes

Name: Hyperfinite Dirichlet Forms and Stochastic Processes
SKU: 10405554
Price: 150.99 AUD
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Paperback / softback

Series:

Lecture Notes of the Unione Matematica Italiana

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Description

This monograph treats the theory of Dirichlet forms from a comprehensive point of view, using "nonstandard analysis." Thus, it is close in spirit to the discrete classical formulation of Dirichlet space theory by Beurling and Deny (1958). The discrete infinitesimal setup makes it possible to study the diffusion and the jump part using essentially the same methods. This setting has the advantage of being independent of special topological properties of the state space and in this sense is a natural one, valid for both finite- and infinite-dimensional spaces. The present monograph provides a thorough treatment of the symmetric as well as the non-symmetric case, surveys the theory of hyperfinite Lévy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.

Release date Australia

May 29th, 2011

Author

Audience

Professional & Vocational

Illustrations

1 Illustrations, color; XIV, 284 p. 1 illus. in color.

Pages

284

Series

Lecture Notes of the Unione Matematica Italiana

Dimensions

155x235x23

ISBN-13

9783642196584

Product ID

10405554

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