The density at infinity of a discrete group of hyperbolic motions
Dennis Sullivan (1979)
Publications Mathématiques de l'IHÉS
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Dennis Sullivan (1979)
Publications Mathématiques de l'IHÉS
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José L. Fernández (1989)
Extracta Mathematicae
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Pekka Tukia (1985)
Publications Mathématiques de l'IHÉS
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Stone, A. H.
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A. B. Kharazishvili (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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Piotr Zakrzewski (1997)
Colloquium Mathematicae
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Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...