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The action at infinity of conservative groups of hyperbolic motions need not have atoms
Published online by Cambridge University Press: 19 September 2008
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.
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