no. 1
The functional moderate deviations for Harris recurrent Markov chains and applications
Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 1, pp. 89-124 
@article{AIHPB_2004__40_1_89_0,
     author = {Chen, Xia and Guillin, Arnaud},
     title = {The functional moderate deviations for {Harris} recurrent {Markov} chains and applications},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {89--124},
     year = {2004},
     publisher = {Elsevier},
     volume = {40},
     number = {1},
     doi = {10.1016/j.anihpb.2003.07.002},
     mrnumber = {2037475},
     zbl = {1035.60021},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpb.2003.07.002/}
}
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Chen, Xia; Guillin, Arnaud. The functional moderate deviations for Harris recurrent Markov chains and applications. Annales de l'I.H.P. Probabilités et statistiques, Tome 40 (2004) no. 1, pp. 89-124. doi: 10.1016/j.anihpb.2003.07.002

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