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arXiv · 1202.5361

Regularity of harmonic functions for some Markov chains with unbounded range

Fangjun Xu
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Abstract

We consider a class of continuous time Markov chains on $\Z^d$. These chains are the discrete space analogue of Markov processes with jumps. Under some conditions, we show that harmonic functions associated with these Markov chains are H\"{o}lder continuous.

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Fangjun Xu. 2012-02-24. Regularity of harmonic functions for some Markov chains with unbounded range. https://arxiv.org/abs/1202.5361

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