29 citations · 33 across the 3 of their papers we have counts for
3 papers
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…
math.PR2006★ 3 cited
Central Limit Theorems for Non-Invertible Measure Preserving Maps
Michael C. Mackey, Marta Tyran-Kaminska
We establish a new functional central limit theorem result for non-invertible measure preserving maps that are not necessarily ergodic, using the Perron-Frobenius operator. We appl…