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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/28075

Title: Lyapunov spectrum of Markov and Euclid trees
Authors: Spalding, Kathryn
Veselov, A.P.
Issue Date: 2017
Publisher: © IOP Publishing and London Mathematical Society
Citation: SPALDING, K. and VESELOV, A.P., 2017. Lyapunov spectrum of Markov and Euclid trees. Nonlinearity, 30(12), pp. 4428-4453.
Abstract: © 2017 IOP Publishing Ltd & London Mathematical Society. We study the Lyapunov exponents Λ(x) for Markov dynamics as a function of path determined by x ∈ ℝP 1 on a binary planar tree, describing the Markov triples and their 'tropical' version-Euclid triples. We show that the corresponding Lyapunov spectrum is [0, ln φ], where φ is the golden ratio, and prove that on the MarkovHurwitz set X of the most irrational numbers the corresponding function Λ X is monotonically increasing and in the Farey parametrization is convex.
Description: This is an author-created, un-copyedited version of an article published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1361-6544/aa88ff.
Sponsor: The work of K.S. was supported by the EPSRC as part of PhD study at Loughborough.
Version: Accepted for publication
DOI: 10.1088/1361-6544/aa88ff
URI: https://dspace.lboro.ac.uk/2134/28075
Publisher Link: https://doi.org/10.1088/1361-6544/aa88ff
ISSN: 0951-7715
Appears in Collections:Published Articles (Maths)

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