Horseshoes for a Class of Nonuniformly Expanding Random Circle Maps
We propose a notion of random horseshoe for one-dimensional random dynamical systems with non-uniform expansion, and we provide sufficient conditions that guarantee their abundant existence, which is shown to hold for a class of non-uniformly expanding random circle endomorphisms with bounded additive noise.
Authors
- Jeroen S. W. Lamb (ORCID: https://orcid.org/0000-0001-7647-4200)
- Dmitry Turaev (ORCID: https://orcid.org/0000-0002-4637-6447)
- Giuseppe Tenaglia
Institutions
- Gulf University for Science & Technology (KW)
- Imperial College London (GB)
- The University of Tokyo (JP)
- Tokyo International University (JP)
Publication Details
- Journal
- Annales Henri Poincaré
- Published
- 2025-03-05
- DOI
- https://doi.org/10.1007/s00023-025-01555-1
- Citations
- 1
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 3.69
Funders
- Leverhulme Trust
- Engineering and Physical Sciences Research Council