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A pointwise cubic average for two commuting transformations

Published:2016-10 Issue:2 Volume:216 Page:657-678
ISSN:0021-2172
Container-title:Israel Journal of Mathematics
language:en
Short-container-title:Isr. J. Math.

Author:

Donoso Sebastián,Sun Wenbo

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11856-016-1423-5.pdf

Reference18 articles.

1. I. Assani, Pointwise convergence of ergodic averages along cubes, J. Analyse Math. 110 (2010), 241–269.

2. T. Austin, On the norm convergence of nonconventional ergodic averages, Ergodic Theory and Dynamical Systems 30 (2010), 321–338.

3. V. Bergelson, The multifarious Poincaré Recurrence Theorem, in Descriptive Set Theory and Dynamical Systems, (M. Foreman, A. S. Kechris, A. Louveau and B. Weiss. eds.), Cambridge University Press, New York, 2000, pp. 31–57.

4. J. Bourgain, Double recurrence and almost sure convergence, J. Reine Angew. Math. 404 (1990), 140–161.

5. Q. Chu, Multiple recurrence for two commuting transformations, Ergodic Theory Dynam. Systems 31 (2011), 771–792.

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