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

Research output: Contribution to journal › Article

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
Externally published	Yes

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Keywords

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

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

Hong, S. (1994). Conical limit points and groups of divergence type. Transactions of the American Mathematical Society, 346(1), 341-357. https://doi.org/10.1090/S0002-9947-1994-1273535-1

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Access to Document

10.1090/S0002-9947-1994-1273535-1