Quenched decay of correlations for random contracting Lorenz maps
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.
Authors
- Marks Ruziboev (ORCID: https://orcid.org/0000-0002-9738-8595)
- Andrew Larkin
Institutions
- University of Vienna (AT)
- Academy of Sciences Republic of Uzbekistan (UZ)
- Loughborough University (GB)
Publication Details
- Journal
- Ergodic Theory and Dynamical Systems
- Published
- 2025-09-09
- DOI
- https://doi.org/10.1017/etds.2025.10215
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00