Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval

In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples.

Detalles Bibliográficos
Autores principales: Pollicott, M., Vytnova, P.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9870983/
https://www.ncbi.nlm.nih.gov/pubmed/36714455
http://dx.doi.org/10.1007/s00220-022-04495-7
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author Pollicott, M.
Vytnova, P.
author_facet Pollicott, M.
Vytnova, P.
author_sort Pollicott, M.
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description In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples.
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spelling pubmed-98709832023-01-25 Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval Pollicott, M. Vytnova, P. Commun Math Phys Article In this short note we describe a simple but remarkably effective method for rigorously estimating Lyapunov exponents for expanding maps of the interval. We illustrate the applicability of this method with some standard examples. Springer Berlin Heidelberg 2022-11-17 2023 /pmc/articles/PMC9870983/ /pubmed/36714455 http://dx.doi.org/10.1007/s00220-022-04495-7 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis 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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Pollicott, M.
Vytnova, P.
Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title_full Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title_fullStr Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title_full_unstemmed Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title_short Accurate Bounds on Lyapunov Exponents for Expanding Maps of the Interval
title_sort accurate bounds on lyapunov exponents for expanding maps of the interval
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9870983/
https://www.ncbi.nlm.nih.gov/pubmed/36714455
http://dx.doi.org/10.1007/s00220-022-04495-7
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