Quenched decay of correlations for one-dimensional random Lorenz maps

DOI10.1007/s10883-021-09583-wOpenAlexW3133238530MaRDI QIDQ2694496

Andrew Larkin

Publication date: 3 April 2023

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.12875

zbMATH Keywords

random dynamical systemsLorenz attractorsquenched correlation decay

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamics induced by flows and semiflows (37C10) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system

Cites Work

• The dynamics of the Hénon map
• The Lorenz attractor is mixing
• Variance continuity for Lorenz flows
• Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps
• STATISTICAL PROPERTIES OF ONE-DIMENSIONAL MAPS WITH CRITICAL POINTS AND SINGULARITIES
• Three-Dimensional Flows
• Singular-hyperbolic attractors are chaotic
• Decay of correlations in one-dimensional dynamics
• Almost sure rates of mixing for i.i.d. unimodal maps
• Almost sure mixing rates for non-uniformly expanding maps
• Deterministic Nonperiodic Flow
• Statistical stability and limit laws for Rovella maps
• Quenched decay of correlations for slowly mixing systems
• On the statistical stability of Lorenz attractors with a stable foliation
• Statistical stability of geometric Lorenz attractors
• Central limit theorems and invariance principles for Lorenz attractors

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