# name
Markov chain approximations for nonsymmetric processes

# metadata.dc.description.abstract[].value
The aim of this article is to prove that diffusion processes in $\mathbb{R}^d$ with a drift can be approximated by suitable Markov chains on $n^{-1} \mathbb{Z}^d$. Moreover, we investigate sufficient conditions on the edge weights which guarantee convergence of the associated Markov chains to such Markov processes. Analogous questions are answered for a large class of nonsymmetric jump processes. The proofs of our results rely on regularity estimates for weak solutions to the corresponding nonsymmetric parabolic equations and Dirichlet form techniques.

# metadata.dc.relation.ispartof[].value
Stochastic Processes and their Applications, 2023, vol. 158, p. 238-281

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.subject.classification[].value
Teoremes de límit (Teoria de probabilitats)

# metadata.dc.title[].value
Markov chain approximations for nonsymmetric processes