Includes material for a standard graduate class, advanced material not covered by the
standard course but necessary in order to read research literature in the area, and extensive …

We study measurable dependence of measures on a parameter in the following two
classical problems: constructing conditional measures and the Kantorovich optimal …

We study the space of Radon probability measures on a metric space and its subspaces,
and of continuous measures, discrete measures, and finitely supported measures …

In this paper, we introduce and study a new class of generalized metric spaces, which we
call k*-metrizable spaces, and suggest various applications of such spaces in topological …

We generalize Talagrand's inequality in the theory of optimal transport and give some
applications of our result. In particular, we establish an estimate for a couple of …

In Bayesian statistical inverse problems the a priori probability distributions are often given
as stochastic difference equations. We derive a certain class of stochastic partial difference …

The Skorokhod space D= D ([0, 1]: R1) consists of functions x:[0, 1]→ R1 which admit limit x
(t−) from the left at each point t∈(0, 1] and limit x (t+) from the right at each point t∈[0, 1) …

Topological Spaces with Skorokhod Representation Property Page 1 Ukrainian Mathematical
Journal, Vol. 57, No. 9, 2005 TOPOLOGICAL SPACES WITH SKOROKHOD REPRESENTATION …

The functor Pσ of σ-additive probability measures on the category of Tychonoff spaces is
investigated. It is shown that the space Pσ (X) is Hewitt complete for every Tychonoff space …

Chemical reaction networks are mathematical models widely used to describe the
dynamical behaviour of systems in biology, epidemiology, chemistry. In such models …