Dynamics and density evolution in piecewise deterministic growth processes
Volume 94 / 2008
Annales Polonici Mathematici 94 (2008), 111-129
MSC: Primary 47D06; Secondary 60J25.
DOI: 10.4064/ap94-2-2
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.
