Hunt's hypothesis and symmetrization for general 1-dimensional diffusions
Probability
2021-07-26 v2
Abstract
In this paper, we will consider the problem that how far from Hunt's hypothesis (H) to symmetrization for a general 1-dimensional diffusion. A characterization of (H) involving the classification of points for this diffusion will be first obtained. Then the main result shows that such a process is symmetrizable, if and only if (H) holds and a certain family of asymmetric shunt points is empty. Furthermore, we will also derive the representation of associated Dirichlet forms of general 1-dimensional diffusions under symmetry.
Keywords
Cite
@article{arxiv.2107.06163,
title = {Hunt's hypothesis and symmetrization for general 1-dimensional diffusions},
author = {Liping Li},
journal= {arXiv preprint arXiv:2107.06163},
year = {2021}
}