Article
Licensed
Unlicensed
Requires Authentication
Subordination of symmetric quasi -regular Dirichlet forms
-
Published/Copyright:
January 1, 2005
The generators of subordinate symmetric (sub-) Markov processes and their domains are exhibited by using spectral theory. The construction preserves sets of essential self -adjointness of the generators.
General non local symmetric quasi regular Dirichlet forms and the corresponding processes (with jumps) are shown to be constructible by subordination of processes properly associated to symmetric quasi regular Dirichlet forms (in particular local ones). It is proven that subordination preserves the property of a process to be a symmetric m -tight special standard process. A characterization of the subordinate processes in terms of solutions of the corresponding martingale problems is obtained.
Key Words: Infinite dimensional,; stochastic differential equations,; stochastic partial differential equations,; subordination,; pseudo -differential operators,; Dirichlet forms,; uniqueness
Published Online: 2005-01-01
Published in Print: 2005-01-01
Copyright 2005, Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- The stochastic maximum principle in optimal control of singular diffusions with non linear coefficients
- On Selberg's beta integrals
- Subordination of symmetric quasi -regular Dirichlet forms
- A note on the asymptotic behavior of sequences of generalized subgaussian random vectors
- The Circular Law. Twenty years later. Part III
- Corrigendum
Articles in the same Issue
- The stochastic maximum principle in optimal control of singular diffusions with non linear coefficients
- On Selberg's beta integrals
- Subordination of symmetric quasi -regular Dirichlet forms
- A note on the asymptotic behavior of sequences of generalized subgaussian random vectors
- The Circular Law. Twenty years later. Part III
- Corrigendum
