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 languageEnglish
Pages (from-to)341-357
Number of pages17
JournalTransactions of the American Mathematical Society
Volume346
Issue number1
DOIs
Publication statusPublished - 1994
Externally publishedYes

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Limit Point
Divergence
Limit Set
Generalise
Theorem

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Conical limit points and groups of divergence type. / Hong, Sungbok.

In: Transactions of the American Mathematical Society, Vol. 346, No. 1, 1994, p. 341-357.

Research output: Contribution to journal › Article

Hong, S 1994, 'Conical limit points and groups of divergence type', Transactions of the American Mathematical Society, vol. 346, no. 1, pp. 341-357. https://doi.org/10.1090/S0002-9947-1994-1273535-1
Hong S. Conical limit points and groups of divergence type. Transactions of the American Mathematical Society. 1994;346(1):341-357. https://doi.org/10.1090/S0002-9947-1994-1273535-1
Hong, Sungbok. / Conical limit points and groups of divergence type. In: Transactions of the American Mathematical Society. 1994 ; Vol. 346, No. 1. pp. 341-357.
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