The fundamental inequality for cocompact Fuchsian groups

DOI10.1017/fms.2022.94zbMath1502.60060arXiv2012.07417OpenAlexW3111963248MaRDI QIDQ5056385

Petr Kosenko, Giulio Tiozzo

Publication date: 8 December 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.07417

zbMATH Keywords

random walksLebesgue measurehyperelliptic Fuchsian groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Hyperbolic groups and nonpositively curved groups (20F67) Boundary theory for Markov processes (60J50) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (3)

Groups, Drift and Harmonic Measures ⋮ Random walk speed is a proper function on Teichmüller space ⋮ The space of metric structures on hyperbolic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary measures for projective transformations: the Blackwell and Furstenberg measures
• Matrix random products with singular harmonic measure
• The probabilistic nature of McShane's identity: planar tree coding of simple loops
• Function theory, random paths and covering spaces
• Harmonic measures and Bowen-Margulis measures
• Internal diffusion limited aggregation on discrete groups having exponential growth
• Free Kleinian groups and volumes of hyperbolic 3-manifolds
• Simple geodesics and a series constant over Teichmüller space
• The collar theorem and examples
• The circle problem in the hyperbolic plane
• Critical exponent and displacement of negatively curved free groups.
• On the regularity of stationary measures
• On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products
• Entropy and drift in word hyperbolic groups
• On two recent geometrical characterizations of hyperellipticity
• Cusp excursion in hyperbolic manifolds and singularity of harmonic measure
• Entropy and drift for word metrics on relatively hyperbolic groups
• Word length statistics and Lyapunov exponents for Fuchsian groups with cusps
• On the displacement of generators of free Fuchsian groups
• Harmonic measures for distributions with finite support on the mapping class group are singular
• Harmonicity of quasiconformal measures and Poisson boundaries of hyperbolic spaces
• On Poincaré's theorem for fundamental polygons
• On the question of ergodicity for minimal group actions on the circle
• Paradoxical Decompositions, 2-Generator Kleinian Groups, and Volumes of Hyperbolic 3-Manifolds
• Dimension of harmonic measures in hyperbolic spaces
• On the speed of distance stationary sequences
• Fundamental Inequality for Hyperbolic Coxeter and Fuchsian Groups Equipped with Geometric Distances
• Entropy and drift for Gibbs measures on geometrically finite manifolds
• Harmonic measures versus quasiconformal measures for hyperbolic groups
• Products of Random Matrices
• Geometry and spectra of compact Riemann surfaces

This page was built for publication: The fundamental inequality for cocompact Fuchsian groups