Flows in near algebras with applications to harnesses
Rings and Algebras
2022-11-17 v3 Probability
Abstract
We introduce one-way flows in near algebras and two-way flows in double near algebras with two interrelated multiplications. We establish parametric representations of the one-way and two-way flows in terms of a single element of the algebra that we call a flow generator. We indicate probabilistic applications of the one-way flows to a study of polynomial stochastic processes. We apply our results on the two-way flows to harnesses and quadratic harnesses in probability theory, generalizing some previous results.
Keywords
Cite
@article{arxiv.2007.03082,
title = {Flows in near algebras with applications to harnesses},
author = {Włodzimierz Bryc and Jacek Wesołowski and Agnieszka Zięba},
journal= {arXiv preprint arXiv:2007.03082},
year = {2022}
}