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

John A. Velling; Katsuhiko Matsuzaki

doi:10.1017/S0143385700006349

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

John A. Velling, Katsuhiko Matsuzaki

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	577-582
Number of pages	6
Journal	Ergodic Theory and Dynamical Systems
Volume	11
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700006349
Publication status	Published - 1991
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1017/S0143385700006349

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title = "The action at infinity of conservative groups of hyperbolic motions need not have atoms",

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.",

author = "Velling, {John A.} and Katsuhiko Matsuzaki",

year = "1991",

doi = "10.1017/S0143385700006349",

language = "English",

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pages = "577--582",

journal = "Ergodic Theory and Dynamical Systems",

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AU - Velling, John A.

AU - Matsuzaki, Katsuhiko

PY - 1991

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N2 - 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.

AB - 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.

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U2 - 10.1017/S0143385700006349

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

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

Abstract

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