Dynamics and density evolution in piecewise deterministic growth processes
Analysis of PDEs
2009-07-07 v2
Abstract
A new sufficient condition is proved for the existence of stochastic semigroups generated by the sum of two unbounded operators. It is applied to one-dimensional piecewise deterministic Markov processes, where we also discuss the existence of a unique stationary density and give sufficient conditions for asymptotic stability.
Cite
@article{arxiv.0804.2267,
title = {Dynamics and density evolution in piecewise deterministic growth processes},
author = {Michael C. Mackey and Marta Tyran-Kaminska},
journal= {arXiv preprint arXiv:0804.2267},
year = {2009}
}