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Weak mixing of a transformation similar to Pascal

100%

Kane D.

Colloquium Mathematicum

2007

tom 108

nr 1

135-140

We construct a class of transformations similar to the Pascal transformation, except for the use of spacers, and show that these transformations are weakly mixing.

Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations

39%

Dodd C., Jeasakul P., Jirapattanakul A., Kane D., Robinson B., Stein N., Silva C.

Colloquium Mathematicum

2010

tom 119

nr 1

1-22

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.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Kane D.

1 Dodd C.

1 Jeasakul P.

1 Jirapattanakul A.

1 Robinson B.

1 Silva C.

1 Stein N.

1 2010

1 2007

Wyniki wyszukiwania

Weak mixing of a transformation similar to Pascal

Ergodic properties of a class of discrete Abelian group extensions of rank-one transformations