On v-positive type transformations in infinite measure

• Autorzy: Tudor Pădurariu , Cesar E. Silva , Evangelie Zachos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A40: Nonsingular (and infinite-measure preserving) transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 140
• Numer: 2
• Strony: 149-170

Daty

wydano

2015

Twórcy

autor

Tudor Pădurariu

• University of California, Los Angeles, CA 90095-1555, U.S.A.

autor

Cesar E. Silva

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

autor

Evangelie Zachos

• Princeton University, Princeton, NJ 08544, U.S.A.

Identyfikatory

DOI

10.4064/cm140-2-1