Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions

DOI10.3934/jmd.2018004zbMath1408.37007arXiv1508.03946OpenAlexW2964064048WikidataQ130076628 ScholiaQ130076628MaRDI QIDQ1787204

Corinna Ulcigrai, Ronggang Shi, Krzysztof Frączek

Publication date: 4 October 2018

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03946

zbMATH Keywords

equidistributiongap distributionergodic theoremtranslation surfaceshomogeneous dynamicsKontsevich-Zorich cocycleOseledets theorempseudo-integrable billiardsEaton lenses

Mathematics Subject Classification ID

Related Items (9)

On ergodicity of foliations on \({\mathbb{Z}^d}\)-covers of half-translation surfaces and some applications to periodic systems of Eaton lenses ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Non-uniform ergodic properties of Hamiltonian flows with impacts ⋮ Pointwise equidistribution for one parameter diagonalizable group action on homogeneous space ⋮ Survey lecture on billiards ⋮ A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces ⋮ Self affine Delone sets and deviation phenomena ⋮ Periodicity and ergodicity in the trihexagonal tiling ⋮ Recurrence for smooth curves in the moduli space and an application to the billiard flow on nibbled ellipses

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