Loss of memory and moment bounds for nonstationary intermittent dynamical systems
arXiv:2007.07616 · doi:10.1007/s00220-021-04071-5
Abstract
We study nonstationary intermittent dynamical systems, such as compositions of a (deterministic) sequence of Pomeau-Manneville maps. We prove two main results: sharp bounds on memory loss, including the "unexpected" faster rate for a large class of measures, and sharp moment bounds for Birkhoff sums and, more generally, "separately Hölder" observables.
arXiv comment28 pages. v2: Incorporated referee suggestions. To appear in Communications in Mathematical Physics
References in corpus (16)
- Annealed and quenched limit theorems for random expanding dynamical systems
- A spectral approach for quenched limit theorems for random expanding dynamical systems
- Almost sure invariance principle for random piecewise expanding maps
- Central limit theorems for sequential and random intermittent dynamical systems
- Mixing rates and limit theorems for random intermittent maps
- Decay of correlation for random intermittent maps
- Quasistatic dynamical systems
- Dispersing billiards with moving scatterers
- Quasistatic dynamics with intermittency
- Functional correlation decay and multivariate normal approximation for non-uniformly expanding maps
- Quenched and annealed equilibrium states for random Ruelle expanding maps and applications
- Vector-valued Almost Sure Invariance Principle For Non-stationary Dynamical Systems
- A vector valued almost sure invariance principle for time dependent non-uniformly expanding dynamical systems
- Exponential Law for Random Maps on Compact Manifolds
- Moment bounds and concentration inequalities for slowly mixing dynamical systems
- Large deviations and central limit theorems for sequential and random systems of intermittent maps