4 papers
Average Cost Markov Decision Processes with Semi-Uniform Feller Transition Probabilities
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
This paper studies average-cost Markov decision processes with semi-uniform Feller transition probabilities. This class of MDPs was recently introduced by the authors to study MDPs…
An example showing that A-lower semi-continuity is essential for minimax continuity theorems
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
Recently Feinberg et al. [arXiv:1609.03990] established results on continuity properties of minimax values and solution sets for a function of two variables depending on a paramete…
Uniform Fatou's Lemma
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
Fatou's lemma is a classic fact in real analysis that states that the limit inferior of integrals of functions is greater than or equal to the integral of the inferior limit. This…
Existence of Strong Solutions for the 3D Navier-Stokes System
Michael Z. Zgurovsky, Pavlo O. Kasyanov
Regularity properties of strong solutions are considered.