no. 1
A weighted pointwise ergodic theorem
Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 139-150 
@article{AIHPB_1998__34_1_139_0,
     author = {Assani, I.},
     title = {A weighted pointwise ergodic theorem},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {139--150},
     year = {1998},
     publisher = {Gauthier-Villars},
     volume = {34},
     number = {1},
     mrnumber = {1617709},
     zbl = {0902.28011},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_1998__34_1_139_0/}
}
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Assani, I. A weighted pointwise ergodic theorem. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 139-150. https://www.numdam.org/item/AIHPB_1998__34_1_139_0/

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