On the Integrability of the Supremum of Ergodic Ratios
Derriennic, Yves
Ann. Probab., Tome 1 (1973) no. 5, p. 338-340 / Harvested from Project Euclid
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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.
Publié le : 1973-04-14
Classification:  2870,  6060,  Measure-preserving conservative ergodic transformation,  reverse maximal inequality 
@article{1176996988,
     author = {Derriennic, Yves},
     title = {On the Integrability of the Supremum of Ergodic Ratios},
     journal = {Ann. Probab.},
     volume = {1},
     number = {5},
     year = {1973},
     pages = { 338-340},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996988}
}

Derriennic, Yves. On the Integrability of the Supremum of Ergodic Ratios. Ann. Probab., Tome 1 (1973) no. 5, pp.  338-340. http://gdmltest.u-ga.fr/item/1176996988/