Quadratic Perturbations of Markov Systems

Mihai D. Staic; Sofia Stancu

Quadratic Perturbations of Markov Systems

Probability 2026-07-31 v1

Authors: Mihai D. Staic , Sofia Stancu

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.

Keywords

quadratic dynamical systems Markov processes perturbation stochasticity fixed points applications

Cite

@article{arxiv.2608.00295,
  title  = {Quadratic Perturbations of Markov Systems},
  author = {Mihai D. Staic and Sofia Stancu},
  journal= {arXiv preprint arXiv:2608.00295},
  year   = {2026}
}

Comments

12 pages, all comments are welcome