Extremal parameters and their duals for boundary maps associated to Fuchsian groups

DOI10.1215/00192082-8827631zbMath1483.37044arXiv2001.11943OpenAlexW3111040209MaRDI QIDQ2039726

Adam Abrams

Publication date: 5 July 2021

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.11943

zbMATH Keywords

geodesic flowFuchsian groupsboundary mapsextremal parameters

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Rigidity and flexibility of entropies of boundary maps associated to Fuchsian groups

Cites Work

• Structure of attractors for \((a,b)\)-continued fraction transformations
• Markov maps associated with Fuchsian groups
• Structure of attractors for boundary maps associated to Fuchsian groups
• Correction to: ``Structure of attractors for boundary maps associated to Fuchsian groups
• Coding of closed geodesics after Gauss and Morse
• Applications of (a,b)-continued fraction transformations
• Geodesic flows, interval maps, and symbolic dynamics
• Symbolic dynamics and Markov partitions
• Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature
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