Markov numbers, Mather's beta-function and stable norm

V. Fock [7] introduced an interesting function ψ(x), x ∈ R related to Markov numbers. We explain its relation to Federer-Gromov’s stable norm and Mather’s β-function, and use this to study its properties. We prove that ψ and its natural generalisations are differentiable at every irrational x and no...

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Bibliographic Details
Main Authors: A. Sorrentino, Alexander Veselov
Format: Default Article
Published: 2019
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Online Access:https://hdl.handle.net/2134/36930
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