On the marked length spectrum of generic strictly convex billiard tables

DOI10.1215/00127094-2017-0038zbMath1417.37138arXiv1603.08838OpenAlexW3104331750MaRDI QIDQ1700518

Guan Huang, Alfonso Sorrentino, Vadim Yu. Kaloshin

Publication date: 6 March 2018

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08838

zbMATH Keywords

length spectrumLaplace spectrumconvex billiardMather beta function

Mathematics Subject Classification ID

Dynamical aspects of twist maps (37E40)

Related Items

On the local Birkhoff conjecture for convex billiards, Length spectrum rigidity for piecewise analytic Bunimovich billiards, Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics, Marked length spectral determination of analytic chaotic billiards with axial symmetries, Beltrami fields with hyperbolic periodic orbits enclosed by knotted invariant tori, Travelling times in scattering by obstacles in curved space, On the integrability of Birkhoff billiards, Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards, Nearly circular domains which are integrable close to the boundary are ellipses, On fourth-degree polynomial integrals of the Birkhoff billiard, Inverse problems and rigidity questions in billiard dynamics

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