Rank-one flows of transformations with infinite ergodic index
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- by Alexandre I. Danilenko and Kyewon K. Park PDF
- Proc. Amer. Math. Soc. 139 (2011), 201-207 Request permission
Abstract:
A rank-one infinite measure preserving flow $T=(T_{t})_{t\in \mathbb {R}}$ is constructed such that for each $t\ne 0$, the Cartesian powers of the transformation $T_{t}$ are all ergodic.References
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Additional Information
- Alexandre I. Danilenko
- Affiliation: Institute for Low Temperature Physics and Engineering of National Academy of Sciences of Ukraine, 47 Lenin Avenue, Kharkov, 61164, Ukraine
- MR Author ID: 265198
- Email: alexandre.danilenko@gmail.com
- Kyewon K. Park
- Affiliation: Department of Mathematics, College of Natural Science, Ajou University, Suwon 442-749, Korea
- MR Author ID: 136240
- Email: kkpark@madang.ajou.ac.kr
- Received by editor(s): October 14, 2009
- Received by editor(s) in revised form: February 23, 2010
- Published electronically: July 6, 2010
- Additional Notes: The first author thanks Ajou University and KIAS for supporting in part his visit to South Korea.
The second author is supported in part by KRF 2007-313-C00044. - Communicated by: Bryna Kra
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 201-207
- MSC (2010): Primary 37A40; Secondary 37A10, 37A25
- DOI: https://doi.org/10.1090/S0002-9939-2010-10460-4
- MathSciNet review: 2729083