Qualitative properties of certain piecewise deterministic Markov processes

We study a class of Piecewise Deterministic Markov Processes with state space Rd x E where E is a finite set. The continuous component evolves according to a smooth vector field that is switched at the jump times of the discrete coordinate. The jump rates may depend on the whole position of the proc...

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Veröffentlicht in:	Annales de l'I.H.P. Probabilités et statistiques 2015-08, Vol.51 (3), p.1040-1075
Hauptverfasser:	Benaïm, Michel, Le Borgne, Stéphane, Malrieu, Florent, Zitt, Pierre-André
Format:	Artikel
Sprache:	eng
Schlagworte:	34A60 60J99 Convergence to equilibrium Differential inclusion Dynamical Systems Hörmander bracket condition Mathematics Piecewise deterministic Markov process Probability
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