Existence of invariant measures for piecewise continuous transformations
Giulio Pianigiani (1981)
Annales Polonici Mathematici
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Displaying similar documents to “Countably piecewise expanding transformations without absolutely continuous invariant measure”
Existence of invariant measures for piecewise continuous transformations
Differential Properties of Functions of a Complex Variable which are Invariant under Linear Transformations
E. J. Wilezynski (1923)
Journal de Mathématiques Pures et Appliquées
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On the generalized Avez method
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A generalization of the Avez method of construction of an invariant measure is presented.
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M. Pal (1972)
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Given a set X, a countable group H acting on it and a σ-finite H-invariant measure m on X, we study conditions which imply that each selector of H-orbits is nonmeasurable with respect to any H-invariant extension of m.
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Antoni Leon Dawidowicz (1989)
Annales Polonici Mathematici
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On the existence of invariant measures for piecewise convex transformations
P. Kasprowski (1983)
Annales Polonici Mathematici
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On sets of positive measure under certain transformations
A. K. Mookhopadhyaya (1964)
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A method of construction of an invariant measure
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A method of construction of an invariant measure on a function space is presented.
On invariants for measure preserving transformations
G. Hjorth (2001)
Fundamenta Mathematicae
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The classification problem for measure preserving transformations is strictly more complicated than that of graph isomorphism.
A central limit theorem for piecewise convex transformations of the unit interval
M. Jabłoński, J. Malczak (1984)
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Semicontinuity of dimension and measure for locally scaling fractals
L. B. Jonker, J. J. P. Veerman (2002)
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The basic question of this paper is: If you consider two iterated function systems close to each other in an appropriate topology, are the dimensions of their respective invariant sets close to each other? It is well known that the Hausdorff dimension (and Lebesgue measure) of the invariant set does not depend continuously on the iterated function system. Our main result is that (with a restriction on the "non-conformality" of the transformations) the Hausdorff dimension is a lower semicontinuous...
Invariant extension of Haar measure
Antal Járai
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CONTENTS§1. Introduction...............................................................5§2. Covariant extension of measures..............................6§3. An invariant extension of Haar measure..................15§4. Covariant extension of Lebesgue measure.............22References....................................................................26
Limit in terms of continuous transformation
N. Wiener (1922)
Bulletin de la Société Mathématique de France
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Poisson suspensions of compactly regenerative transformations
Roland Zweimüller (2008)
Colloquium Mathematicae
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For infinite measure preserving transformations with a compact regeneration property we establish a central limit theorem for visits to good sets of finite measure by points from Poissonian ensembles. This extends classical results about (noninteracting) infinite particle systems driven by Markov chains to the realm of systems driven by weakly dependent processes generated by certain measure preserving transformations.