论文标题

在代数附近的流动,并应用于线束

Flows in near algebras with applications to harnesses

论文作者

Bryc, Włodzimierz, Wesołowski, Jacek, Zięba, Agnieszka

论文摘要

我们在代数附近引入单向流,并在代数附近的双向流中引入两个相互关联的乘法。我们根据我们称为流量生成器的代数的单个元素来建立单向和双向流的参数表示。我们指出单向流动到多项式随机过程的概率应用。我们将结果应用于概率理论中的双向和二次线束上的双向流,从而推广了一些先前的结果。

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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