Three results on mixing shapes.

Ward, Thomas B.

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Displaying similar documents to “Three results on mixing shapes.”

A note on mixing properties of invertible extensions.

Morris, Gary, Ward, Thomas B. (1997)

Acta Mathematica Universitatis Comenianae. New Series

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Mixing Properties of Substitutions

F. M. Dekking, M. Keane (1976)

Publications mathématiques et informatique de Rennes

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An extension which is relatively twofold mixing but not threefold mixing

Thierry de la Rue (2004)

Colloquium Mathematicae

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We give an example of a dynamical system which is mixing relative to one of its factors, but for which relative mixing of order three does not hold.

Mixing rank-one actions of locally compact abelian groups

Alexandre I. Danilenko, Cesar E. Silva (2007)

Annales de l'I.H.P. Probabilités et statistiques

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Characterizing mildly mixing actions by orbit equivalence of products.

Hawkins, Jane, Silva Cesar, E. (1998)

The New York Journal of Mathematics [electronic only]

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Mixing for dyadic equivalence.

Hasfura-Buenaga, J.R. (1995)

Acta Mathematica Universitatis Comenianae. New Series

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Simple mixing actions with uncountably many prime factors

Alexandre I. Danilenko, Anton V. Solomko (2015)

Colloquium Mathematicae

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Via the (C,F)-construction we produce a 2-fold simple mixing transformation which has uncountably many non-trivial proper factors and all of them are prime.

Infinite ergodic index $ℤ^{d}$ -actions in infinite measure

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 $ℤ^{d}$ -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 $ℤ^{d}$ -actions; for these we show that the individual basis transformations have conservative...

On weakly mixing and doubly ergodic nonsingular actions

Sarah Iams, Brian Katz, Cesar E. Silva, Brian Street, Kirsten Wickelgren (2005)

Colloquium Mathematicae

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We study weak mixing and double ergodicity for nonsingular actions of locally compact Polish abelian groups. We show that if T is a nonsingular action of G, then T is weakly mixing if and only if for all cocompact subgroups A of G the action of T restricted to A is weakly mixing. We show that a doubly ergodic nonsingular action is weakly mixing and construct an infinite measure-preserving flow that is weakly mixing but not doubly ergodic. We also construct an infinite measure-preserving...

Epidemics with two levels of mixing: The exact moments.

Prodinger, Helmut (1999)

Electronic Journal of SADIO [electronic only]

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Power weakly mixing infinite transformations.

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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On ergodic transformations that are both weakly mixing and uniformly rigid.

James, Jennifer, Koberda, Thomas, Lindsey, Kathryn, Silva, Cesar E., Speh, Peter (2009)

The New York Journal of Mathematics [electronic only]

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On the rate of strong mixing in stationary Gaussian random fields

Raymond Cheng (1992)

Studia Mathematica

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Rosenblatt showed that a stationary Gaussian random field is strongly mixing if it has a positive, continuous spectral density. In this article, spectral criteria are given for the rate of strong mixing in such a field.

An algebraic group associated to an ergodic diffeomorphism

Robert J. Zimmer (1981)

Compositio Mathematica

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Tower multiplexing and slow weak mixing

Terrence Adams (2015)

Colloquium Mathematicae

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A technique is presented for multiplexing two ergodic measure preserving transformations together to derive a third limiting transformation. This technique is used to settle a question regarding rigidity sequences of weak mixing transformations. Namely, given any rigidity sequence for an ergodic measure preserving transformation, there exists a weak mixing transformation which is rigid along the same sequence. This establishes a wide range of rigidity sequences for weakly mixing dynamical...