A Kolmogorov type theorem for stochastic fields

Jinlong Wei; Guangying Lv

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arXiv · 1911.05868

A Kolmogorov type theorem for stochastic fields

Jinlong Wei·Guangying Lv

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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.

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Jinlong Wei, Guangying Lv. 2019-11-14. A Kolmogorov type theorem for stochastic fields. https://arxiv.org/abs/1911.05868

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