The uniqueness of symmetrizing measure and linear diffusions
Probability
2009-08-13 v1
Abstract
In this short article, we shall study one-dimensional local Dirichlet spaces. One result, which has its independent interest, is to prove that irreducibility implies the uniqueness of symmetrizing measure for right Markov processes. The other result is to give a representation for any 1-dim local, irreducible and regular Dirichlet space and a necessary and sufficient condition for a Dirichlet space to be regular subspace of another Dirichlet space.
Keywords
Cite
@article{arxiv.0908.1607,
title = {The uniqueness of symmetrizing measure and linear diffusions},
author = {Xing Fang and Jiangang Ying and Minzhi Zhao},
journal= {arXiv preprint arXiv:0908.1607},
year = {2009}
}
Comments
13 papes