A Kolmogorov type theorem for stochastic fields
Probability
2019-11-15 v1
Abstract
We generalize the Kolmogorov continuity theorem and prove the continuity of a class of stochastic fields with the parameter. As an application, we derive the continuity of solutions for nonlocal stochastic parabolic equations driven by non-Gaussian L\'{e}vy noises.
Cite
@article{arxiv.1911.05868,
title = {A Kolmogorov type theorem for stochastic fields},
author = {Jinlong Wei and Guangying Lv},
journal= {arXiv preprint arXiv:1911.05868},
year = {2019}
}
Comments
14 pages