The return sequence of the Bowen–Series map for punctured surfaces

DOI10.4064/fm182-3-3zbMath1095.37008OpenAlexW1972902475MaRDI QIDQ4829366

Manuel Stadlbauer

Publication date: 29 November 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm182-3-3

zbMATH Keywords

geodesic flowreturn mappointwise dual ergodicity

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Geometric constructions in real or complex geometry (51M15) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) 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 (9)

Pressure metrics for deformation spaces of quasifuchsian groups with parabolics ⋮ Pressure metrics for cusped Hitchin components ⋮ Hitchin representations of Fuchsian groups ⋮ The Sullivan dictionary and Bowen-Series maps ⋮ Exponential mixing of geodesic flows for geometrically finite hyperbolic manifolds with cusps ⋮ A multifractal analysis for cuspidal windings on hyperbolic surfaces ⋮ Local mixing on abelian covers of hyperbolic surfaces with cusps ⋮ A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings ⋮ Counting, equidistribution and entropy gaps at infinity with applications to cusped Hitchin representations

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