Quantitative infinite mixing for non-compact skew products
We consider skew products over subshifts of finite type in which the fibers are copies of the real line, and we study their mixing properties with respect to any infinite invariant measure given by the product of a Gibbs measure on the base and Lebesgue measure on the fibers. Assuming that the system is accessible, we prove a quantitative version of Krickeberg mixing for a class of observables which is dense in the space of continuous functions vanishing at infinity.
Authors
- Paolo Giulietti (ORCID: https://orcid.org/0000-0001-9604-1699)
- Andy Hammerlindl (ORCID: https://orcid.org/0000-0002-3874-748X)
- Davide Ravotti (ORCID: https://orcid.org/0000-0002-6079-4354)
Institutions
- University of Pisa (IT)
- Centre National de la Recherche Scientifique (FR)
- Université de Lille (FR)
- Laboratoire Paul Painlevé (FR)
- Monash University (AU)
Publication Details
- Journal
- Discrete and Continuous Dynamical Systems
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/dcds.2025039
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00