Regularity of harmonic functions for some Markov chains with unbounded range

Details Regularity of harmonic functions for some Markov chains with unbounded range Regularity of harmonic functions for some Markov chains with unbounded range

2012-02-24

arxiv.org/abs/1202.5361v1

Mathematics

Probability

Scientific paper

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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