Substochastic semigroups and densities of piecewise deterministic Markov processes
Functional Analysis
2009-05-14 v2 Probability
Abstract
Necessary and sufficient conditions are given for a substochastic semigroup on obtained through the Kato--Voigt perturbation theorem to be either stochastic or strongly stable. We show how such semigroups are related to piecewise deterministic Markov process, provide a probabilistic interpretation of our results, and apply them to fragmentation equations.
Cite
@article{arxiv.0804.4889,
title = {Substochastic semigroups and densities of piecewise deterministic Markov processes},
author = {Marta Tyran-Kaminska},
journal= {arXiv preprint arXiv:0804.4889},
year = {2009}
}
Comments
26 pages; corrected typos