Simplicity of spectrum for certain multidimensional continued fraction algorithms
Dynamical Systems
2019-05-01 v1 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.
Cite
@article{arxiv.1904.13297,
title = {Simplicity of spectrum for certain multidimensional continued fraction algorithms},
author = {Charles Fougeron and Alexandra Skripchenko},
journal= {arXiv preprint arXiv:1904.13297},
year = {2019}
}