Convergence of polynomial ergodic averages

Israel Journal of Mathematics

Volumn 149, Issue , 2005, Pages 1-19

  Host, Bernard ^a   Kra, Bryna ^b  

^a UFR des Sciences et Technologie   (France)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18444379725     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02772534     Document Type: Article

References (11)

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3. [BL96] V. Bergelson and A. Leibman, Polynomial extensions of van der Waerden's and Szemerédi's theorems, Journal of the American Mathematical Society 9 (1996), 725-753.
4. [FK05] N. Frantzikinakis and B. Kra, Polynomial averages converge to the product of integrals, Israel Journal of Mathematics 148 (2005), 267-276.
5. [F77] H. Furstenberg, Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions, Journal d'Analyse Mathématique 31 (1977), 204-256.
6. n2x), in Convergence in Ergodic Theory and Probability (V. Bergelson, P. March and J. M. Rosenblatt, eds.), Walter de Gruyter & Co, Berlin, New York, 1996, pp. 193-227.
7. [HK02] B. Host and B. Kra, Non conventional ergodic averages and nilmanifolds, Annals of Mathematics, to appear.
8. [L02] A. Leibman, Pointwise convergence of ergodic averages for polynomial sequences of rotations of a nilmanifold, Ergodic Theory and Dynamical Systems, to appear.
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10. [Pa69] W. Parry, Ergodic properties of affine transformations and flows on nilmanifolds, American Journal of Mathematics 91 (1969), 757-771.
11. [Pa70] W. Parry, Dynamical systems on nilmanifolds, The Bulletin of the London Mathematical Society 2 (1970), 37-40.