no. 1
The maximal variation of a bounded martingale and the central limit theorem
Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 49-59 
@article{AIHPB_1998__34_1_49_0,
     author = {De Meyer, Bernard},
     title = {The maximal variation of a bounded martingale and the central limit theorem},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {49--59},
     year = {1998},
     publisher = {Gauthier-Villars},
     volume = {34},
     number = {1},
     mrnumber = {1617725},
     zbl = {0903.60037},
     language = {en},
     url = {https://www.numdam.org/item/AIHPB_1998__34_1_49_0/}
}
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De Meyer, Bernard. The maximal variation of a bounded martingale and the central limit theorem. Annales de l'I.H.P. Probabilités et statistiques, Tome 34 (1998) no. 1, pp. 49-59. https://www.numdam.org/item/AIHPB_1998__34_1_49_0/

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[3] J.-F. Mertens and S. Zamir, The maximal variation of a bounded martingale, Israel Journal of Mathematics, Vol. 27, 1977, pp. 252-276. | Zbl | MR

[4] D. Revuz and M. Yor, Continuous Martingales and Brownian Motion, Springer, Berlin, Heidelberg, New York, 1990. | Zbl