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arXiv · 2007.03082

Flows in near algebras with applications to harnesses

Włodzimierz Bryc·Jacek Wesołowski·Agnieszka Zięba
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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.

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Włodzimierz Bryc, Jacek Wesołowski, Agnieszka Zięba. 2020-07-06. Flows in near algebras with applications to harnesses. https://doi.org/10.4064/cm8549-1-2022

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