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arxiv: 1904.13297 · v1 · pith:MTP6ZE26new · submitted 2019-04-30 · 🧮 math.DS · math.NT

Simplicity of spectrum for certain multidimensional continued fraction algorithms

classification 🧮 math.DS math.NT
keywords simplicityspectrumalgorithmalgorithmsappliedcertainclasscontinued
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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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