Work

Quenched decay of correlations for random contracting Lorenz maps

Year: 2025

Type: article

Abstract: In this work, we study rates of mixing for small independent and identically distributed random perturbations of contracting Lorenz maps sufficiently close to a Rovella parameter. By using a random Young tower construction, we prove that this random system has exponential decay of correlations.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2025.10215

Authors: ANDREW LARKIN, MARKS BOTIRBOYEVICH RUZIBOEV

Institutions: Loughborough University, University of Vienna, Academy of Sciences Republic of Uzbekistan

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Austrian Science Fund, Universität Wien

Award: QUENCHED STATISTICAL LIMIT LAWS FOR RANDOM DYNAMICAL SYSTEMS