2 papers
math.PR2022
Path continuity of Markov processes and locality of Kolmogorov operators
Lucian Beznea, Iulian Cîmpean, Michael Röckner
We prove that if we are given a generator of a cadlag Markov process and an open domain in the state space, on which the generator has the local property expressed in a suitabl…
math.PR2014
Irreducible recurrence, ergodicity, and extremality of invariant measures for resolvents
Lucian Beznea, Iulian Cîmpean, Michael Röckner
We analyze the transience, recurrence, and irreducibility properties of general sub- Markovian resolvents of kernels and their duals, with respect to a fixed sub-invariant measure…