Structure of attractors for boundary maps associated to Fuchsian groups

DOI10.1007/S10711-017-0251-ZzbMath1388.37057arXiv1610.00167OpenAlexW2964084863MaRDI QIDQ1681817

Ilie Ugarcovici, Svetlana Katok

Publication date: 24 November 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00167

zbMATH Keywords

attractorFuchsian groupreduction theoryboundary map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups ⋮ On the topological entropy of (a, b)-continued fraction transformations ⋮ Continuous deformation of the Bowen-Series map associated to a cocompact triangle group ⋮ Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature ⋮ Correction to: ``Structure of attractors for boundary maps associated to Fuchsian groups ⋮ Extremal parameters and their duals for boundary maps associated to Fuchsian groups

Cites Work

• Structure of attractors for \((a,b)\)-continued fraction transformations
• Markov maps associated with Fuchsian groups
• Symbolic dynamics for geodesic flows
• On Poincaré's theorem for fundamental polygons
• Applications of (a,b)-continued fraction transformations
• Geodesic flows, interval maps, and symbolic dynamics
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