Geodesic
Diagonal martingale ergodic sequences
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 103-107 Cet article a éte moissonné depuis la source Math-Net.Ru

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A proof of convergence almost everywhere for diagonal martingale ergodic sequences which include ergodic averages and Cesaro averages for reversed martingale as special cases is obtained in the article. A condition of mutual commuting for conditional expectations and ergodic averaging is sufficient for this convergence. Maximal and dominant inequalities also are proved for such sequences.
Keywords: martingale ergodic sequence, reversed martingale, ergodic averages, Dunford–Schwartz operator. 
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I. V. Podvigin. Diagonal martingale ergodic sequences. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 103-107. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a8/

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