BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise

2024/08/07 by Giuseppe Tenaglia, Tenaglia, Giuseppe
Decision Sciences · Engineering · Mathematics · #37D25 #37H30 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR) #Probability and Risk Models #Stability and Controllability of Differential Equations #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2408.03688

openalex publication_date 2024/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a class of non uniformly expanding random dynamical system with additive noise and we prove a BV estimate between the stationary measure and the quasistationary measure of the system. Furthermore, we use these bounds to give precise estimates for the Lyapunov exponent of the system.

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