Lifting Measures to Markov Extensions.
Gerhard Keller (1989)
Monatshefte für Mathematik
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Gerhard Keller (1989)
Monatshefte für Mathematik
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Hans Haller (1981)
Monatshefte für Mathematik
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Stefan Sujan (1980)
Monatshefte für Mathematik
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Tudor Pădurariu, Cesar E. Silva, Evangelie Zachos (2015)
Colloquium Mathematicae
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For each vector v we define the notion of a v-positive type for infinite-measure-preserving transformations, a refinement of positive type as introduced by Hajian and Kakutani. We prove that a positive type transformation need not be (1,2)-positive type. We study this notion in the context of Markov shifts and multiple recurrence, and give several examples.
Chris Dodd, Phakawa Jeasakul, Anne Jirapattanakul, Daniel M. Kane, Becky Robinson, Noah D. Stein, Cesar E. Silva (2010)
Colloquium Mathematicae
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We define a class of discrete Abelian group extensions of rank-one transformations and establish necessary and sufficient conditions for these extensions to be power weakly mixing. We show that all members of this class are multiply recurrent. We then study conditions sufficient for showing that Cartesian products of transformations are conservative for a class of invertible infinite measure-preserving transformations and provide examples of these transformations.
Paul C. Shields, Robert M. Burton (1983)
Monatshefte für Mathematik
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James K. Brooks (1969)
Monatshefte für Mathematik
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M. Pal (1972)
Publications de l'Institut Mathématique
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Guangheng Ji, Hongwen Lu (1996)
Monatshefte für Mathematik
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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.
Ali R. Amir-Moéz (1963)
Monatshefte für Mathematik
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J. Globevnik (1988)
Monatshefte für Mathematik
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Imre Z. Ruzsa (1991)
Monatshefte für Mathematik
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Lawrence A. Harris (1977)
Monatshefte für Mathematik
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Mary E. Gbur (1977)
Monatshefte für Mathematik
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