5 citations · 10 across the 20 of their papers we have counts for
25 papers
On Right Continuity in at All the Points of Energy-regularized Solutions for the 3D Navier-Stokes Equations
Pavlo O. Kasyanov
In this note I provide the notion of energy-regularized solutions (ER-solutions) of the 3D Navier-Stokes equations. These solutions can be obtained via the standard Galerkin argume…
Epi-Convergence of Expectation Functions under Varying Measures and Integrands
Eugene A. Feinberg, Pavlo O. Kasyanov, Johannes O. Royset
For expectation functions on metric spaces, we provide sufficient conditions for epi-convergence under varying probability measures and integrands, and examine applications in the…
Equivalent Conditions for Weak Continuity of Nonlinear Filters
Eugene A. Feinberg, Pavlo O. Kasyanov
This paper studies weak continuity of nonlinear filters. It is well-known that Borel measurability of transition probabilities for problems with incomplete state observations is pr…
Continuity of Parametric Optima for Possibly Discontinuous Functions and Noncompact Decision Sets
Eugene A. Feinberg, Pavlo O. Kasyanov, David N. Kraemer
This paper investigates continuity properties of value functions and solutions for parametric optimization problems. These problems are important in operations research, control, a…
Markov Decision Processes with Incomplete Information and Semi-Uniform Feller Transition Probabilities
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
This paper deals with control of partially observable discrete-time stochastic systems. It introduces and studies Markov Decision Processes with Incomplete Information and with sem…
Semi-Uniform Feller Stochastic Kernels
Eugene A. Feinberg, Pavlo O. Kasyanov, Michael Z. Zgurovsky
This paper studies transition probabilities from a Borel subset of a Polish space to a product of two Borel subsets of Polish spaces. For such transition probabilities it introduce…