Markov properties for Gaussian fields associated with Dirichlet forms
Probability
2022-03-01 v1
Abstract
We prove the equivalence of the local property for an irreducible regular Dirichlet form and the Markov property for the Gaussian field associated with the Dirichlet form. Moreover we introduce a strong Markov property for Gaussian fields and present some sufficient conditions for this to hold.
Cite
@article{arxiv.2202.14012,
title = {Markov properties for Gaussian fields associated with Dirichlet forms},
author = {Takumu Ooi},
journal= {arXiv preprint arXiv:2202.14012},
year = {2022}
}
Comments
15 pages