Random Kleinian Groups, II Two Parabolic Generators

DOI10.1080/10586458.2018.1477079zbMath1462.30083arXiv1801.01167OpenAlexW2963698005MaRDI QIDQ5857714

Graeme O'Brien, Yasushi Yamashita, Gaven J. Martin

Publication date: 7 April 2021

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01167

zbMATH Keywords

Kleinian groupparabolic generatorsRiley slice

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (3)

Random lattices, punctured tori and the Teichmüller distribution ⋮ Random ideal hyperbolic quadrilaterals, the cross ratio distribution and punctured tori ⋮ Random Möbius groups. I: Random subgroups of \(\operatorname{PSL}(2,\mathbb{R})\)

Cites Work

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• A personal account of the discovery of hyperbolic structures on some knot complements
• Punctured torus groups and 2-bridge knot groups. I
• Commutators, collars and the geometry of Möbius groups
• The diagonal slice of Schottky space
• The complement of the Bowditch space in the \(SL(2, \mathbb C)\) character variety
• Über die Heckeschen Gruppen \({\mathfrak G}(\lambda)\)
• KLEINIAN GROUPS WITH REAL PARAMETERS
• Markoff triples and quasifuchsian groups
• Groups Generated by two Parabolic Linear Fractional Transformations

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