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Hyperfinite Dirichlet Forms and Stochastic Processes by Sergio Albeverio; Ruzong Fan; Frederik S. Herzberg is a nonfiction available to read on EtoBox.

What is Hyperfinite Dirichlet Forms and Stochastic Processes about?

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 L?vy processes, and summarizes in an epilogue the model-theoretic genericity of hyperfinite stochastic processes theory.

Who reads Hyperfinite Dirichlet Forms and Stochastic Processes?

Author

Sergio Albeverio; Ruzong Fan; Frederik S. Herzberg

Publisher

Springer Berlin Heidelberg

Published

2011

Language

EN

ISBN

9783642196591

Category

nonfiction

Subjects

Mathematics, Science, Stem