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

John A. Velling, Katsuhiko Matsuzaki

研究成果: Article

2 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)577-582
ページ数6
ジャーナルErgodic Theory and Dynamical Systems
11
発行部数3
DOI
出版物ステータスPublished - 1991
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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