Horseshoes for a class of nonuniformly expanding random circle maps
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Published online version
Author(s)
Lamb, Jeroen SW
Tenaglia, Giuseppe
Turaev, Dmitry
Type
Journal Article
Abstract
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.
Date Issued
2025-03-05
Date Acceptance
2025-02-11
Citation
Annales Henri Poincare, 2025
ISSN
1424-0637
Publisher
Springer
Journal / Book Title
Annales Henri Poincare
Copyright Statement
© 2025 The Author(s) Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Identifier
10.1007/s00023-025-01555-1
Subjects
Mathematics Subject Classification. 37H20
37B10
37D25
60J05
Publication Status
Published online
Date Publish Online
2025-03-05