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  Simplicity of spectra for certain multidimensional continued fraction algorithms

Fougeron, C., & Skripchenko, A. (in press). Simplicity of spectra for certain multidimensional continued fraction algorithms. Monatshefte für Mathematik, Early View Online - Print pending. doi:10.1007/s00605-021-01517-9.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-14A2-A Version Permalink: https://hdl.handle.net/21.11116/0000-0008-14A3-9
Genre: Journal Article

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arXiv:1904.13297.pdf (Preprint), 174KB
 
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File downloaded from arXiv at 2021-03-02 15:17 Preprint title: Simplicity of spectrum for certain multidimensional continued fraction algorithms
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 Creators:
Fougeron, Charles1, Author           
Skripchenko, Alexandra, Author
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Dynamical Systems, Number Theory
 Abstract: In the current paper we prove simplicity for the spectrum of Lyapunov
exponents for triangle sequence and Selmer algorithm in dimension 3. We
introduce a strategy that can be applied for a wide class of Markovian MCF.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Accepted / In Press
 Pages: 21
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1904.13297
DOI: 10.1007/s00605-021-01517-9
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Title: Monatshefte für Mathematik
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: - Sequence Number: Early View Online - Print pending Start / End Page: - Identifier: -