与置换相对应的一组非volterra二次算子

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-10-11 DOI:10.46298/cm.10135

U. Jamilov

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引用次数: 0

摘要

本文考虑了一类依赖于参数$\ α $的非volterra二次随机算子，并研究了它们的轨迹行为。我们找到了有限维单纯形上非volterra二次随机算子的所有不动点。我们构造一些李雅普诺夫函数。给出了极限点集的完整描述，并证明了这种算子具有遍历性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A family of non-Volterra quadratic operators corresponding to permutations

In the present paper we consider a family of non-Volterra quadratic stochastic operators depending on a parameter $\alpha$ and study their trajectory behaviors. We find all fixed points for a non-Volterra quadratic stochastic operator on a finite-dimensional simplex. We construct some Lyapunov functions. A complete description of the set of limit points is given, and we show that such operators have the ergodic property.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.