Geodesic
Another proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios
Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 155-158

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Using the ratio ergodic theorem for a measure preserving transformation in a $\sigma $-finite measure space we give a straightforward proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios.
Using the ratio ergodic theorem for a measure preserving transformation in a $\sigma $-finite measure space we give a straightforward proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios.
Classification : 28D05, 47A35
Keywords: $\sigma $-finite measure space; measure preserving transformation; conservative; ergodic; supremum of ergodic ratios; maximal and reverse maximal inequalities 
Sato, Ryotaro. Another proof of Derriennic's reverse maximal inequality for the supremum of ergodic ratios. Commentationes Mathematicae Universitatis Carolinae, Tome 47 (2006) no. 1, pp. 155-158. http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a13/
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     title = {Another proof of {Derriennic's} reverse maximal inequality for the supremum of ergodic ratios},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {155--158},
     year = {2006},
     volume = {47},
     number = {1},
     mrnumber = {2223975},
     zbl = {1150.28013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_2006_47_1_a13/}
}
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