Effective equidistribution of circles in the limit sets of Kleinian groups

DOI10.3934/jmd.2017009zbMath1404.37001arXiv1602.00318OpenAlexW2963748915MaRDI QIDQ1630356

Wenyu Pan

Publication date: 10 December 2018

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00318

zbMATH Keywords

circle packingKleinian group

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Circle packings and discrete conformal geometry (52C26) Homogeneous flows (37A17)

Related Items (1)

Asymptotic Counting in Conformal Dynamical Systems

Cites Work

• Distribution of periods of closed trajectories in exponentially shrinking intervals
• The asymptotic distribution of circles in the orbits of Kleinian groups
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Kleinian groups with small limit sets
• Hausdorff dimension and Kleinian groups
• Matrix coefficients, counting and primes for orbits of geometrically finite groups
• Effective circle count for Apollonian packings and closed horospheres
• Geodesic planes in hyperbolic 3-manifolds
• Harmonic analysis, Ergodic theory and Counting for thin groups
• Effective Bisector Estimate with Application to Apollonian Circle Packings
• Counting common perpendicular arcs in negative curvature
• Spectra of Ruelle transfer operators for Axiom A flows
• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
• Diophantine extremality of the Patterson measure
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old
• Equidistribution and counting for orbits of geometrically finite hyperbolic groups
• Ergodicity of unipotent flows and Kleinian groups

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