Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature

DOI10.4064/sm171020-1-3zbMath1414.37020arXiv1710.07618OpenAlexW2963945636WikidataQ129036234 ScholiaQ129036234MaRDI QIDQ4615042

Svetlana Katok, Adam Abrams

Publication date: 1 February 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07618

zbMATH Keywords

attractorgeodesic flowsymbolic dynamicsFuchsian groupsboundary mapsreduction theory

Mathematics Subject Classification ID

Related Items (5)

Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups ⋮ Continuous deformation of the Bowen-Series map associated to a cocompact triangle group ⋮ Extremal parameters and their duals for boundary maps associated to Fuchsian groups ⋮ Finiteness in polygonal billiards on hyperbolic plane ⋮ Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

Cites Work

• Unnamed Item
• Structure of attractors for \((a,b)\)-continued fraction transformations
• Structure of attractors for boundary maps associated to Fuchsian groups
• Symbolic dynamics for the modular surface and beyond

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