Basmajian-type identities and Hausdorff dimension of limit sets

DOI10.1017/ETDS.2016.130zbMath1397.37048arXiv1602.06351OpenAlexW2963526208MaRDI QIDQ3177869

Yan Mary He

Publication date: 2 August 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06351

zbMATH Keywords

Cantor setHausdorff dimensionBasmajian-type series identity

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Low-dimensional topology of special (e.g., branched) coverings (57M12)

Related Items (1)

The Schottky-Klein prime function and counting functions for Fenchel double crosses

Cites Work

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• Hausdorff dimension of quasi-circles
• Automorphic forms for Schottky groups
• The ergodic theory of hyperbolic groups
• The Orthogonal Spectrum of a Hyperbolic Manifold
• Roots, Schottky semigroups, and a proof of Bandt’s conjecture
• Endomorphisms and automorphisms of the shift dynamical system

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