9 citations · 23 across the 5 of their papers we have counts for
5 papers
How Can We Describe Density Evolution Under Delayed Dynamics?
Michael C. Mackey, Marta Tyran-Kamińska
Although the theory of density evolution in maps and ordinary differential equations is well developed, the situation is far from satisfactory in continuous time systems with delay…
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…
Transport equations and perturbations of boundary conditions
Marta Tyran-Kamińska
We provide a new perturbation theorem for substochastic semigroups on abstract AL spaces extending Kato's perturbation theorem to non-densely defined operators. We show how it can…
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…
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…