On stability of traveling wave solutions for integro-differential equations related to branching Markov processes
Probability
2018-08-02 v1
Abstract
The aim of this paper is to prove stability of traveling waves for integro-differential equations connected with branching Markov processes. In other words, the limiting law of the left-most particle of a (time-continuous) branching Markov process with a L\'{e}vy non-branching part is demonstrated. The key idea is to approximate the branching Markov process by a branching random walk and apply the result of A\"{i}d\'{e}kon [1] on the limiting law of the latter one.
Keywords
Cite
@article{arxiv.1808.00411,
title = {On stability of traveling wave solutions for integro-differential equations related to branching Markov processes},
author = {Pasha Tkachov},
journal= {arXiv preprint arXiv:1808.00411},
year = {2018}
}