Geodesic
On $v$-positive type transformations in infinite measure
Tudor Pădurariu 1   ; Cesar E. Silva 2   ; Evangelie Zachos 3
1 University of California Los Angeles, CA 90095-1555, U.S.A.
2 Department of Mathematics Williams College Williamstown, MA 01267, U.S.A.
3 Princeton University Princeton, NJ 08544, U.S.A.
Colloquium Mathematicum, Tome 140 (2015) no. 2, pp. 149-170 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm140-2-1
Keywords: each vector define notion v positive type infinite measure preserving transformations refinement positive type introduced hajian kakutani prove positive type transformation positive type study notion context markov shifts multiple recurrence several examples

Tudor Pădurariu  1   ; Cesar E. Silva  2   ; Evangelie Zachos  3

1 University of California Los Angeles, CA 90095-1555, U.S.A.
2 Department of Mathematics Williams College Williamstown, MA 01267, U.S.A.
3 Princeton University Princeton, NJ 08544, U.S.A. 
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Tudor Pădurariu; Cesar E. Silva; Evangelie Zachos. On $v$-positive type transformations
 in infinite measure. Colloquium Mathematicum, Tome 140 (2015) no. 2, pp. 149-170. doi: 10.4064/cm140-2-1

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