no. 2
Forward-backward martingale decomposition and compactness results for additive functionals of stationary ergodic Markov processes
Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 2, pp. 121-141. 
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     author = {Wu, Liming},
     title = {Forward-backward martingale decomposition and compactness results for additive functionals of stationary ergodic {Markov} processes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {121--141},
     publisher = {Gauthier-Villars},
     volume = {35},
     number = {2},
     year = {1999},
     mrnumber = {1678517},
     zbl = {0936.60037},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1999__35_2_121_0/}
}
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Wu, Liming. Forward-backward martingale decomposition and compactness results for additive functionals of stationary ergodic Markov processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 35 (1999) no. 2, pp. 121-141. http://www.numdam.org/item/AIHPB_1999__35_2_121_0/

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