Conical limit points and groups of divergence type

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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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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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