Refined horoball counting and conformal measure for Kleinian group actions

DOI10.54330/afm.129606arXiv2202.09178MaRDI QIDQ6047184

Jonathan M. Fraser, Liam Stuart

Publication date: 7 September 2023

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.09178

zbMATH Keywords

Diophantine approximationKleinian groupbox dimensionPatterson-Sullivan measureconformal measurehoroballsparabolic fixed pointAssouad spectrumglobal measure formula

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Metric theory (11J83) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Quasiconformal methods in holomorphic dynamics; quasiconformal dynamics (37F31) Fuchsian and Kleinian groups as dynamical systems (37F32)

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