Geodesic
Dynamics and density evolution in piecewise deterministic growth processes
Michael C. Mackey1 ; Marta Tyran-Kami/nska2
1Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics McGill University 3655 Promenade Sir William Osler Montreal, QC, Canada, H3G 1Y6
2Institute 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
Annales Polonici Mathematici, Tome 94 (2008) no. 2, pp. 111-129
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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.
DOI : 10.4064/ap94-2-2
Keywords: sufficient condition proved existence stochastic semigroups generated sum unbounded operators applied one dimensional piecewise deterministic markov processes where discuss existence unique stationary density sufficient conditions asymptotic stability

Michael C. Mackey  1   ; Marta Tyran-Kami/nska  2

1 Departments of Physiology, Physics & Mathematics and Centre for Nonlinear Dynamics McGill University 3655 Promenade Sir William Osler Montreal, QC, Canada, H3G 1Y6
2 Institute 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 
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     title = {Dynamics and density evolution in
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Michael C. Mackey; Marta Tyran-Kami/nska. Dynamics and density evolution in
 piecewise deterministic growth processes. Annales Polonici Mathematici, Tome 94 (2008) no. 2, pp. 111-129. doi: 10.4064/ap94-2-2

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