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C0-robustness of topological entropy for geodesic flows

In this paper, we study the regularity of topological entropy, as a function on the space of Riemannian metrics endowed with the C0 topology. We establish several instances of entropy robustness (persistence of positive entropy after small C0 perturbations). A large part of this paper is dedicated t...

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Main Authors: Alves, Marcelo R. R. (Author) , Dahinden, Lucas (Author) , Meiwes, Matthias (Author) , Merlin, Louis (Author)
Format: Article (Journal)
Language:English
Published: 29 April 2022
In: Journal of fixed point theory and applications
Year: 2022, Volume: 24, Issue: 2, Pages: 1-43
ISSN:1661-7746
DOI:10.1007/s11784-022-00959-4
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s11784-022-00959-4
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Author Notes:Marcelo R.R. Alves, Lucas Dahinden, Matthias Meiwes and Louis Merlin

MARC

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