On the Integrability of the Supremum of Ergodic Ratios

Yves Derriennic

doi:10.1214/aop/1176996988

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Home > Journals > Ann. Probab. > Volume 1 > Issue 2 > Article

April, 1973 On the Integrability of the Supremum of Ergodic Ratios

Yves Derriennic

Ann. Probab. 1(2): 338-340 (April, 1973). DOI: 10.1214/aop/1176996988

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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.

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Yves Derriennic. "On the Integrability of the Supremum of Ergodic Ratios." Ann. Probab. 1 (2) 338 - 340, April, 1973. https://doi.org/10.1214/aop/1176996988