On the second Lyapunov exponent of some multidimensional continued fraction algorithms

DOI10.1090/mcom/3592zbMath1473.11012arXiv1910.09386OpenAlexW3084118191MaRDI QIDQ5145102

Wolfgang Steiner, Valérie Berthé, Jörg M. Thuswaldner

Publication date: 20 January 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09386

zbMATH Keywords

multidimensional continued fractionsecond Lyapunov exponentSelmer's algorithm

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Metric theory of continued fractions (11K50)

Related Items (7)

Simplicity of spectra for certain multidimensional continued fraction algorithms ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Generating new partition identities via a generalized continued fraction algorithm ⋮ On integer partitions and continued fraction type algorithms ⋮ Invariant measures in non-conformal fibered systems with singularities ⋮ Zero measure spectrum for multi-frequency Schrödinger operators ⋮ Almost everywhere balanced sequences of complexity \(2n + 1\)

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