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arxiv: 0804.2267 · v2 · submitted 2008-04-15 · 🧮 math.AP

Dynamics and density evolution in piecewise deterministic growth processes

classification 🧮 math.AP
keywords densitydeterministicexistencepiecewiseprocessessufficientappliedasymptotic
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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.

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