%0 Journal Article
%T A sufficient condition for the tightness of time-inhomogeneous Markov processes
%A Vincent Bansaye
%A Florian Simatos
%J Mathematics
%D 2014
%I arXiv
%X We establish a sufficient condition for the tightness of a sequence of time-inhomogeneous strong Markov processes. Our condition makes it possible to study processes with accumulations of fixed times of discontinuity, a case where Aldous' criterion fails. Our motivation comes from the study of processes in varying or random environment. We demonstrate the usefulness of our condition on two examples: Galton Watson branching processes in varying environment and logistic branching processes with catastrophes.
%U http://arxiv.org/abs/1409.5215v1