The action at infinity of conservative groups of hyperbolic motions need not have atoms

John A. Velling, Katsuhiko Matsuzaki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Herein the authors show that discrete groups of motions on Hn+1 may be conservative on Sn but have no positive measure ergodic components for this boundary action. An explicit example of such a group is given for H3 using the Apollonian circle packing of R2.

Original languageEnglish
Pages (from-to)577-582
Number of pages6
JournalErgodic Theory and Dynamical Systems
Volume11
Issue number3
DOIs
Publication statusPublished - 1991
Externally publishedYes

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Circle packing
Ergodic Measure
Discrete Group
Infinity
Atoms
Motion

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The action at infinity of conservative groups of hyperbolic motions need not have atoms. / Velling, John A.; Matsuzaki, Katsuhiko.

In: Ergodic Theory and Dynamical Systems, Vol. 11, No. 3, 1991, p. 577-582.

Research output: Contribution to journalArticle

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