Convergence of multiple ergodic averages along cubes for several commuting transformations
Qing Chu
Studia Mathematica, Tome 196 (2010), p. 13-22 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the "magic extension" established recently by B. Host.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284912 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-2,
     author = {Qing Chu},
     title = {Convergence of multiple ergodic averages along cubes for several commuting transformations},
     journal = {Studia Mathematica},
     volume = {196},
     year = {2010},
     pages = {13-22},
     zbl = {1184.37005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-2}
}

Qing Chu. Convergence of multiple ergodic averages along cubes for several commuting transformations. Studia Mathematica, Tome 196 (2010) pp. 13-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-2/