Continuous deformation of the Bowen-Series map associated to a cocompact triangle group

DOI10.1007/s10711-024-00887-2arXiv2305.04892MaRDI QIDQ6126460

Thomas A. Schmidt, Ayşe Yıltekin-Karataş

Publication date: 9 April 2024

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

Full work available at URL: https://arxiv.org/abs/2305.04892

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Fuchsian and Kleinian groups as dynamical systems (37F32)

Cites Work

• Unnamed Item
• Unnamed Item
• Markov maps associated with Fuchsian groups
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Structure of attractors for boundary maps associated to Fuchsian groups
• Volume entropy for minimal presentations of surface groups in all ranks
• Volume entropy for surface groups via Bowen-Series-like maps
• Invariant relations for the Bowen-Series transform
• A pointwise ergodic theorem for Fuchsian groups
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Geodesic flows, interval maps, and symbolic dynamics
• Markov systems and transfer operators associated with cofinite Fuchsian groups
• Adler and Flatto revisited: cross-sections for geodesic flow on compact surfaces of constant negative curvature
• Flexibility of measure-theoretic entropy of boundary maps associated to Fuchsian groups

This page was built for publication: Continuous deformation of the Bowen-Series map associated to a cocompact triangle group