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    Markov numbers, Mather's beta-function and stable norm by A. Sorrentino, Alexander Veselov

    Published 2019
    “…We prove that ψ and its natural generalisations are differentiable at every irrational x and non-differentiable otherwise, by exploiting the relation with length of simple closed geodesics on the punctured or oneholed tori with the hyperbolic metric and the results by Bangert [3] and McShane-Rivin [23].…”
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