拟代数中的流及其在Harnesses上的应用
Flows in near algebras with applications to harnesses
摘要：
我们在拟代数中引入了单向流，在双拟代数中引入了两个相关乘法的双向流。我们建立的单向和双向流的参数表示的代数，我们称之为流生成器的一个单一的元素。我们指出概率应用的单向流动的多项式随机过程的研究。我们应用我们的结果对双向流的线束和二次线束在概率论，推广以前的一些结果。
英文摘要：
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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