Year: 2026
Type: article
Abstract: 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 $f$. Examples of specific applications of the main result, including Monte Carlo method of simulation of Young measures, are presented with comments.
Source: Archives of Control Sciences
Authors: Andrzej Z. Grzybowski, Piotr Puchała
Institution: Częstochowa University of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2230310068