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Simplicity of spectra for certain multidimensional continued fraction algorithms

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Fougeron,  Charles
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

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.


Cite as: https://hdl.handle.net/21.11116/0000-0008-14A2-A
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.