On mixing transformations.
R.E. Rice (1978)
Aequationes mathematicae
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R.E. Rice (1978)
Aequationes mathematicae
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J.A. Lester (1982)
Aequationes mathematicae
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A. Iwanik (1992)
Aequationes mathematicae
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A. Iwanik (1992)
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M. Pal (1972)
Publications de l'Institut Mathématique
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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.
Igudesman, Konstantin B. (2005)
Lobachevskii Journal of Mathematics
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Marcin E. Kuczma (1976)
Colloquium Mathematicae
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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.
J.A. Lester (1985)
Aequationes mathematicae
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David Kocheim, Roland Zweimüller (2011)
Studia Mathematica
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We study conservative ergodic infinite measure preserving transformations satisfying a compact regeneration property introduced by the second-named author in J. Anal. Math. 103 (2007). Assuming regular variation of the wandering rate, we clarify the asymptotic distributional behaviour of the random vector (Zₙ,Sₙ), where Zₙ and Sₙ are respectively the time of the last visit before time n to, and the occupation time of, a suitable set Y of finite measure.
Kim, Jeong H. (1995)
International Journal of Mathematics and Mathematical Sciences
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A. K. Mookhopadhyaya (1964)
Matematički Vesnik
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