## The Annals of Probability

### On the Integrability of the Supremum of Ergodic Ratios

Yves Derriennic

#### Abstract

We study the integrability of the supremum of ergodic ratios defined by means of a measure-preserving conservative ergodic transformation of a $\sigma$-finite measure space. Our result implies Ornstein's recent result for the supremum of ergodic averages.

#### Article information

Source
Ann. Probab., Volume 1, Number 2 (1973), 338-340.

Dates
First available in Project Euclid: 19 April 2007

https://projecteuclid.org/euclid.aop/1176996988

Digital Object Identifier
doi:10.1214/aop/1176996988

Mathematical Reviews number (MathSciNet)
MR352404

Zentralblatt MATH identifier
0263.28015

JSTOR