Rank-one flows of transformations with infinite ergodic index

Authors:
Alexandre I. Danilenko and Kyewon K. Park

Journal:
Proc. Amer. Math. Soc. **139** (2011), 201-207

MSC (2010):
Primary 37A40; Secondary 37A10, 37A25

Published electronically:
July 6, 2010

MathSciNet review:
2729083

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Abstract | References | Similar Articles | Additional Information

Abstract: A rank-one infinite measure preserving flow is constructed such that for each , the Cartesian powers of the transformation are all ergodic.

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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

Email:
alexandre.danilenko@gmail.com

**Kyewon K. Park**

Affiliation:
Department of Mathematics, College of Natural Science, Ajou University, Suwon 442-749, Korea

Email:
kkpark@madang.ajou.ac.kr

DOI:
https://doi.org/10.1090/S0002-9939-2010-10460-4

Keywords:
Infinite ergodic index,
$(C,
F)$-construction.

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

Article copyright:
© Copyright 2010
American Mathematical Society