paper

Substochastic semigroups and densities of piecewise deterministic Markov processes

arXiv:0804.4889 · doi:10.1016/j.jmaa.2009.04.033

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.

26 pages; corrected typos

References in corpus (1)

Substochastic semigroups and densities of piecewise deterministic Markov processes · wovepaper