arXiv subjects

Fangjun Xu

Publications and source records attributed to Fangjun Xu.

20 records · Page 2Linked to original sources

arXiv2012

Markov Chain Approximations to Singular Stable-like Processes

We consider the Markov chain approximations for singular stable-like processes. First we obtain properties of some Markov chains. Then we construct the approximating Markov chains and give a necessary condition for weak convergence of these chains to singular stable-like processes.

math.PR↗

arXiv2012

Regularity of harmonic functions for some Markov chains with unbounded range

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 Hölder continuous.

math.PR↗