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- W2922970265 abstract "In this work we lead with expanding maps of the circle and Anosov diffeomorphisms on $mathbb{T}^d, d geq 2.$ We prove that, for these maps, textit{constant periodic data} imply textit{same periodic data of these maps and their linearizations}, so in particular we have smooth conjugacy. For expanding maps of the circle and Anosov diffeomorphism on $mathbb{T}^d, d= 2, 3,$ we have global rigidity. In higher dimensions, $d geq 4,$ we can establish a result of local rigidity, in several cases. The main tools of this work are celebrated results of rigidity involving same periodic data with linearization and results involving topological entropy of a diffeomorphism along an expanding invariant foliation." @default.
- W2922970265 created "2019-04-01" @default.
- W2922970265 creator A5077932020 @default.
- W2922970265 date "2019-03-26" @default.
- W2922970265 modified "2023-09-26" @default.
- W2922970265 title "Constant periodic data and rigidity" @default.
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- W2922970265 doi "https://doi.org/10.48550/arxiv.1903.11595" @default.
- W2922970265 hasPublicationYear "2019" @default.
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