Supports of Invariant Measures for Piecewise Deterministic Markov Processes

Abstract

For a class of piecewise deterministic Markov processes, the supports of the invariant measures are characterized. This is based on the analysis of controllability properties of an associated deterministic control system. Its invariant control sets determine the supports.

References in corpus (1)

• Lotka Volterra in fluctuating environment or "how switching between beneficial environments can make survival harder"

Cited by in corpus (2)

• Smooth invariant densities for random switching on the torus
• On invariant distributions of Feller Markov chains with applications to dynamical systems with random switching