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math.PR2020★ 2 cited
Randomly switching evolution equations
Paweł Klimasara, Michael C. Mackey, Andrzej Tomski +1
We present an investigation of stochastic evolution in which a family of evolution equations in are driven by continuous-time Markov processes. These are examples of so-calle…
math.PR2019★ 6 cited
Densities for piecewise deterministic Markov processes with boundary
Piotr Gwiżdż, Marta Tyran-Kamińska
We study the existence of densities for distributions of piecewise deterministic Markov processes. We also obtain relationships between invariant densities of the continuous time p…
math.PR2018★ 5 cited
A model for random fire induced tree-grass coexistence in savannas
Paweł Klimasara, Marta Tyran-Kamińska
Tree-grass coexistence in savanna ecosystems depends strongly on environmental disturbances out of which crucial is fire. Most modeling attempts in the literature lack stochastic a…