Conical limit points and groups of divergence type

Sungbok Hong

doi:10.1090/S0002-9947-1994-1273535-1

Conical limit points and groups of divergence type

Sungbok Hong

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We use the Patterson-Sullivan measure to generalize Agard's theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group ⌈ of divergence type, the conical limit set has positive Patterson-Sullivan measure.

Original language	English
Pages (from-to)	341-357
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	346
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1994-1273535-1
Publication status	Published - 1994 Nov

Keywords

Conical limit point
Group of divergence type Patterson-Sullivan measure
Nonelementary group

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9947-1994-1273535-1

Cite this

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title = "Conical limit points and groups of divergence type",

abstract = "We use the Patterson-Sullivan measure to generalize Agard's theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group ⌈ of divergence type, the conical limit set has positive Patterson-Sullivan measure.",

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N2 - We use the Patterson-Sullivan measure to generalize Agard's theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group ⌈ of divergence type, the conical limit set has positive Patterson-Sullivan measure.

AB - We use the Patterson-Sullivan measure to generalize Agard's theorem to all groups of divergence type. As a consequence, we prove that for a nonelementary group ⌈ of divergence type, the conical limit set has positive Patterson-Sullivan measure.

KW - Conical limit point

KW - Group of divergence type Patterson-Sullivan measure

KW - Nonelementary group

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Conical limit points and groups of divergence type

Abstract

Keywords

ASJC Scopus subject areas

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