4 citations · 5 across the 3 of their papers we have counts for
5 papers
Weak convergence of the sequences of homogeneous Young measures associated with a class of oscillating functions
Piotr Puchała
We take under consideration Young measures with densities. The notion of density of a Young measure is introduced and illustrated with examples. It is proved that the density of a…
A simple characterization of homogeneous Young measures and weak convergence of their densities
Piotr Puchała
We formulate a simple characterization of homogeneous Young measures associated with measurable functions. It is based on the notion of the quasi-Young measure introduced in the pr…
On general characterization of Young measures associated with Borel functions
Andrzej Z. Grzybowski, Piotr Puchała
We prove that the Young measure associated with a Borel function f is a probability distribution of the random variable f(U), where U has a uniform distribution on the domain of f.…
An elementary method of calculating an explicit form of Young measures in some special cases
Piotr Puchała
We present an elementary method of explicit calculation of Young measures for certain class of functions. This class contains in particular functions of a highly oscillatory nature…
Continuous version of the Choquet Integral Reperesentation Theorem
Piotr Puchała
The Choquet - Bishop - de Leeuw theorem states that each element of a compact convex subset of a locally convex topological Hausdorff space is a barycenter of a probability measure…