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math.FA2008★ 29 cited
Substochastic semigroups and densities of piecewise deterministic Markov processes
Marta Tyran-Kaminska
Necessary and sufficient conditions are given for a substochastic semigroup on obtained through the Kato--Voigt perturbation theorem to be either stochastic or strongly stabl…
math.AP2008★ 1 cited
Dynamics and density evolution in piecewise deterministic growth processes
Michael C. Mackey, Marta Tyran-Kaminska
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 determin…