Markov numbers, Mather’s β function and stable norm

DOI10.1088/1361-6544/ab047dzbMath1431.37051arXiv1707.03901OpenAlexW2963706155MaRDI QIDQ5742476

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Publication date: 14 May 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03901

zbMATH Keywords

stable normMarkov numbersFock functionMather's \(\beta\) function

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesic flows in symplectic geometry and contact geometry (53D25) Markov and Lagrange spectra and generalizations (11J06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51)

Related Items (5)

Boundary slopes for the Markov ordering on relatively prime pairs ⋮ Lyapunov spectrum of Markov and Euclid trees ⋮ On the regularity of Mather's \(\beta\)-function for standard-like twist maps ⋮ The $*$-Markov equation for Laurent polynomials ⋮ Conway topograph, -dynamics and two-valued groups

Cites Work

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