An infinite surface with the lattice property. II: Dynamics of pseudo-Anosovs

DOI10.3934/jmd.2019009zbMath1418.37057arXiv1803.01741OpenAlexW2963470982MaRDI QIDQ2000076

W. Patrick Hooper

Publication date: 27 June 2019

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

Full work available at URL: https://arxiv.org/abs/1803.01741

zbMATH Keywords

pseudo-Anosov maplattice propertyinfinite translation surfacemixing in infinite measure

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Uses Software

• GitHub
• flatsurf

Cites Work

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• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• The invariant measures of some infinite interval exchange maps
• On the geometry and dynamics of diffeomorphisms of surfaces
• An infinite surface with the lattice property I: Veech groups and coding geodesics

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