English

Uniform convergence of penalized time-inhomogeneous Markov processes

Probability 2016-03-25 v1

Abstract

We provide an original and general sufficient criterion ensuring the exponential contraction of Feynman-Kac semi-groups of penalized processes. This criterion is applied to time-inhomogeneous one-dimensional diffusion processes conditioned not to hit 0 and to penalized birth and death processes evolving in a quenched random environment.

Keywords

Cite

@article{arxiv.1603.07477,
  title  = {Uniform convergence of penalized time-inhomogeneous Markov processes},
  author = {Nicolas Champagnat and Denis Villemonais},
  journal= {arXiv preprint arXiv:1603.07477},
  year   = {2016}
}