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Quadratic Perturbations of Markov Systems

2026/07/31 by Mihai D. Staic, Sofia Stancu
Mathematics · #math.PR #msc:60G07

paper · pdf

12 pages, all comments are welcome

arxiv created 2026/07/31 · arxiv updated 2026/08/04

Abstract

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 discuss a few examples and possible applications.

Citations