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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Gruher, Kate, Hines, Fred, Patel, Deepam, Silva, Cesar E., Waelder, Robert (2003)
The New York Journal of Mathematics [electronic only]
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Day, Sarah L., Grivna, Brian R., McCartney, Earle P., Silva, Cesar E. (1999)
The New York Journal of Mathematics [electronic only]
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Mercer, A.McD. (1993)
International Journal of Mathematics and Mathematical Sciences
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James, Jennifer, Koberda, Thomas, Lindsey, Kathryn, Silva, Cesar E., Speh, Peter (2009)
The New York Journal of Mathematics [electronic only]
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Jon Aaronson, Tom Meyerovitch (2008)
Colloquium Mathematicae
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We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
Ilya Grigoriev, Marius Cătălin Iordan, Amos Lubin, Nathaniel Ince, Cesar E. Silva (2012)
Colloquium Mathematicae
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We introduce the notion of W-measurable sensitivity, which extends and strictly implies canonical measurable sensitivity, a measure-theoretic version of sensitive dependence on initial conditions. This notion also implies pairwise sensitivity with respect to a large class of metrics. We show that nonsingular ergodic and conservative dynamical systems on standard spaces must be either W-measurably sensitive, or isomorphic mod 0 to a minimal uniformly rigid isometry. In the finite measure-preserving...
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.
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.
Hawkins, Jane, Silva Cesar, E. (1998)
The New York Journal of Mathematics [electronic only]
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Ryotaro Sato (1994)
Publicacions Matemàtiques
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Let Ti (i = 1, 2, ..., d) be commuting null preserving transformations on a finite measure space (X, F, μ) and let 1 ≤ p < ∞. In this paper we prove that for every f ∈ Lp(μ) the averages Anf(x) = (n + 1)-d Σ0≤ni≤n f(T1 n1 T2 n2...
E. Muehlegger, A. Raich, C. Silva, M. Touloumtzis, B. Narasimhan, W. Zhao (1999)
Colloquium Mathematicae
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We construct infinite measure preserving and nonsingular rank one -actions. The first example is ergodic infinite measure preserving but with nonergodic, infinite conservative index, basis transformations; in this case we exhibit sets of increasing finite and infinite measure which are properly exhaustive and weakly wandering. The next examples are staircase rank one infinite measure preserving -actions; for these we show that the individual basis transformations have conservative...
Johann Cigler (1964)
Compositio Mathematica
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