Dynamics and density evolution in
 piecewise deterministic growth processes

Michael C. Mackey; Marta Tyran-Kami/nska

doi:10.4064/ap94-2-2

Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

Dynamics and density evolution in piecewise deterministic growth processes

Tom 94 / 2008

Michael C. Mackey, Marta Tyran-Kami/nska Annales Polonici Mathematici 94 (2008), 111-129 MSC: Primary 47D06; Secondary 60J25. DOI: 10.4064/ap94-2-2

Streszczenie

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.

Autorzy

Michael C. MackeyDepartments of Physiology, Physics & Mathematics
and Centre for Nonlinear Dynamics
McGill University
3655 Promenade Sir William Osler
Montreal, QC, Canada, H3G 1Y6
e-mail
Marta Tyran-Kami/nskaInstitute of Mathematics
Polish Academy of Sciences
Bankowa 14
40-007 Katowice, Poland
and
Institute of Mathematics
University of Silesia
Bankowa 14
40-007 Katowice, Poland
e-mail

Pobierz zgodnie z CC-BY

Przeszukaj wydawnictwa IMPAN