Geodesic
Ergodic seminorms for commuting transformations and applications
Bernard Host 1
1 Laboratoire d'Analyse et de Mathématiques Appliquées UMR CNRS 8050 Université Paris-Est 5 bd Descartes 77454 Marne-la-Vallée Cedex 2, France
Studia Mathematica, Tome 195 (2009) no. 1, pp. 31-49 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Recently, T. Tao gave a finitary proof of a convergence theorem for multiple averages with several commuting transformations, and soon thereafter T. Austin gave an ergodic proof of the same result. Although we give here another proof of the same theorem, this is not the main goal of this paper. Our main concern is to provide tools for the case of several commuting transformations, similar to the tools successfully used in the case of a single transformation, with the idea that they may be used in the solution of other problems.
DOI : 10.4064/sm195-1-3
Keywords: recently tao gave finitary proof convergence theorem multiple averages several commuting transformations soon thereafter austin gave ergodic proof result although here another proof theorem main paper main concern provide tools several commuting transformations similar tools successfully single transformation idea may solution other problems

Bernard Host  1

1 Laboratoire d'Analyse et de Mathématiques Appliquées UMR CNRS 8050 Université Paris-Est 5 bd Descartes 77454 Marne-la-Vallée Cedex 2, France 
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Bernard Host. Ergodic seminorms for commuting transformations
 and applications. Studia Mathematica, Tome 195 (2009) no. 1, pp. 31-49. doi: 10.4064/sm195-1-3

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