Simplicity of spectra for certain multidimensional continued fraction algorithms
C Fougeron, A Skripchenko - Monatshefte für Mathematik, 2021 - Springer
C Fougeron, A Skripchenko
Monatshefte für Mathematik, 2021•SpringerWe introduce a new strategy to prove simplicity of the spectrum of Lyapunov exponents that
can be applied to a wide class of Markovian multidimensional continued fraction algorithms.
As an application we use it for Selmer algorithm in dimension 2 and for the Triangle
sequence algorithm and show that these algorithms are not optimal.
can be applied to a wide class of Markovian multidimensional continued fraction algorithms.
As an application we use it for Selmer algorithm in dimension 2 and for the Triangle
sequence algorithm and show that these algorithms are not optimal.
Abstract
We introduce a new strategy to prove simplicity of the spectrum of Lyapunov exponents that can be applied to a wide class of Markovian multidimensional continued fraction algorithms. As an application we use it for Selmer algorithm in dimension 2 and for the Triangle sequence algorithm and show that these algorithms are not optimal.
Springer
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