发表机构
Bowling Green State University; Institute of Mathematics of the Romanian Academy; Georgia Institute of Technology（鲍灵格林州立大学; 罗马尼亚科学院数学研究所; 佐治亚理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究马尔可夫过程系统的二次动力系统扰动，给出其为随机的充要条件，证明不动点存在性并讨论实例与潜在应用。
AI 中文摘要
本文研究一类马尔可夫过程系统的二次动力系统扰动，给出此类扰动为随机的充要条件，证明不动点的存在性，并讨论若干例子及潜在应用。
英文摘要
In this paper we study a quadratic dynamical system that is a perturbation of a system of Markov processes. We give necessary and sufficient conditions for such a perturbation to be stochastic, show the existence of fixed points, and present a few examples and possible applications. Finally, we derive explicit contraction conditions that guarantee uniqueness of the fixed point and geometric convergence to it from every initial state.
Commentsmajor revision, new co-author, added new section, 19 pages, all comments are welcome
