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arXiv · 1904.13297

Simplicity of spectrum for certain multidimensional continued fraction algorithms

Charles Fougeron·Alexandra Skripchenko
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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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Charles Fougeron, Alexandra Skripchenko. 2019-04-30. Simplicity of spectrum for certain multidimensional continued fraction algorithms. https://arxiv.org/abs/1904.13297

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