Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems

2024/10/28 by Alexey Korepanov, Korepanov, A., Jaakko Leppänen +1 · 2 citations
Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2410.20994

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

Abstract

We study nonstationary dynamical systems formed by sequential concatenation of nonuniformly expanding maps with a uniformly expanding first return map. Assuming a polynomially decaying upper bound on the tails of first return times that is nonuniform with respect to location in the sequence, we derive a corresponding sharp polynomial rate of memory loss. As applications, we obtain new estimates on the rate of memory loss for random ergodic compositions of Pomeau--Manneville type intermittent maps and intermittent maps with unbounded derivatives.

Cited by

• Decay of correlations and limit theorems for random intermittent maps
• Regularity of the variance in quenched CLT for random intermittent dynamical systems

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