Citation
B. Host et B. Kra, Convergence of Conze-Lesigne averages, ERGOD TH DY, 21, 2001, pp. 493-509
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857
→ ACNP
Volume
21
Year of publication
2001
Part
2
Pages
493 - 509
Database
ISI
SICI code
0143-3857(200104)21:<493:COCA>2.0.ZU;2-5
Abstract
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 Lesig
ne on such expressions and simplifies the proof. We also obtain a descripti
on of the limit.