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

John A. Velling, Katsuhiko Matsuzaki

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2 Citations (Scopus)


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
Issue number3
Publication statusPublished - 1991
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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