Dynamics and density evolution in piecewise deterministic growth processes

• Autorzy: Michael C. Mackey , Marta Tyran-Kamińska
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47D06: One-parameter semigroups and linear evolution equations
• 60J25: Continuous-time Markov processes on general state spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 94
• Numer: 2
• Strony: 111-129

Daty

wydano

2008

Twórcy

autor

Michael C. Mackey

• Departments of Physiology, Physics & Mathematics, and Centre for Nonlinear Dynamics, McGill University, 3655 Promenade Sir William Osler, Montreal, QC, Canada, H3G 1Y6

autor

Marta Tyran-Kamińska

• Institute of Mathematics, Polish Academy of Sciences, Bankowa 14, 40-007 Katowice, Poland
• Institute of Mathematics, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/ap94-2-2