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arXiv · 2408.03688

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

Giuseppe Tenaglia
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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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Giuseppe Tenaglia. 2024-08-07. BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise. https://arxiv.org/abs/2408.03688

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