The Theory Of Generalized Dirichlet Forms And Its Applications In Analysis And Stochastics
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The Theory of Generalized Dirichlet Forms and Its Applications in Analysis and Stochastics
Author: Wilhelm Stannat
language: en
Publisher: American Mathematical Soc.
Release Date: 1999
This text explores the theory of generalized Dirichlet Forms along with its applications for analysis and stochastics. Examples are provided.
Theory of Generalized Dirichlet Forms and Its Applications in Analysis and Stochasticse
This text explores the theory of generalized Dirichlet Forms along with its applications for analysis and stochastics. Examples are provided.
Hyperfinite Dirichlet Forms and Stochastic Processes
Author: Sergio Albeverio
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-05-27
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.