Convergence of Conze-Lesigne averages
Host, Bernard ; Kra, B
HAL, hal-00693738 / Harvested from HAL
Text on HAL
We study the convergence of N-1 Sigmaf(1)(T(a1n)x)f(2)(T(a2n)x)f(3)(T(a3n)x), for a measure-preserving system (X, B, mu, T) and f(1), f(2), f(3) is an element of L(infinity)(mu). This generalizes the theorem of Conze and Lesigne on such expressions and simplifies the proof. We also obtain a description of the limit.
Publié le : 2001-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693738,
     author = {Host, Bernard and Kra, B},
     title = {Convergence of Conze-Lesigne averages},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693738}
}

Host, Bernard; Kra, B. Convergence of Conze-Lesigne averages. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693738/