A Combinatorial Application of the Maximal Ergodic Theorem |
| |
Authors: | Peres Yuval |
| |
Affiliation: | Department of Pure Mathematics, School of Mathematical Sciences, Tel Aviv University Israel |
| |
Abstract: | Let X be a compact space,µ a Borel probability measureon X, T: X X a measure preserving continuous transformationand g: X R a continuous function. Then for some yX, This Lemma is used to give an alternative proof of a resultby Ruzsa [6], which implies the following extension of a resultof Bergelson [1]. If E N satisfies then there exists a set N such that n1|[1,n]| (E) for all, n 1, and any finite subset{1, ... k} satisfies Ø. 7 Moria St., Ramat Hasharon, Israel |
| |
Keywords: | |
本文献已被 Oxford 等数据库收录! |
|