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

• Autorzy: Chris Dodd , Phakawa Jeasakul , Anne Jirapattanakul , Daniel M. Kane , Becky Robinson , Noah D. Stein , Cesar E. Silva
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A25: Ergodicity, mixing, rates of mixing
• 37A40: Nonsingular (and infinite-measure preserving) transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2010
• Tom: 119
• Numer: 1
• Strony: 1-22

Daty

wydano

2010

Twórcy

autor

Chris Dodd

• Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.

autor

Phakawa Jeasakul

• Economics Department, University of California, Berkeley, CA 94720, U.S.A.

autor

Anne Jirapattanakul

• 1022 International Affairs Building, Columbia University, 420 West 118th Street, New York, NY 10027, U.S.A.

autor

Daniel M. Kane

• Department of Mathematics, Harvard University, Cambridge, MA 02138, U.S.A.

autor

Becky Robinson

• Williams College, Williamstown, MA 01267, U.S.A.

autor

Noah D. Stein

• Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA 02139, U.S.A.

autor

Cesar E. Silva

• Department of Mathematics, Williams College, Williamstown, MA 01267, U.S.A.

Identyfikatory

DOI

10.4064/cm119-1-1