A mixing dynamical system on the Cantor set.
Kim, Jeong H. (1995)
International Journal of Mathematics and Mathematical Sciences
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Kim, Jeong H. (1995)
International Journal of Mathematics and Mathematical Sciences
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Eigen, S.J., Prasad, V.S. (1997)
The New York Journal of Mathematics [electronic only]
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J. Aaronson, H. Nakada, O. Sarig (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Donald Geman, Joseph Horowitz (1973)
Annales de l'I.H.P. Probabilités et statistiques
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Barnes, Julia A., Eigen, Stanley J. (2000)
The New York Journal of Mathematics [electronic only]
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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...
Volker Warstat (1987)
Annales de l'I.H.P. Physique théorique
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Gerhard Keller (2004)
Colloquium Mathematicae
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We combine some results from the literature to give examples of completely mixing interval maps without limit measure.
Schaerf, H.M. (1949)
Portugaliae mathematica
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