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arXiv · 2410.20994

Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems

A. Korepanov·J. Leppänen
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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.

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A. Korepanov, J. Leppänen. 2024-10-28. Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems. https://arxiv.org/abs/2410.20994

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