no. 3
Laws of the iterated logarithm for the local times of recurrent random walks on Z2 and of Lévy processes and Random walks in the domain of attraction of Cauchy random variables
Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 3, pp. 467-499. 
@article{AIHPB_1994__30_3_467_0,
     author = {Marcus, Michael B. and Rosen, Jay},
     title = {Laws of the iterated logarithm for the local times of recurrent random walks on {Z2} and of {L\'evy} processes and {Random} walks in the domain of attraction of {Cauchy} random variables},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {467--499},
     publisher = {Gauthier-Villars},
     volume = {30},
     number = {3},
     year = {1994},
     mrnumber = {1288360},
     zbl = {0805.60069},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_1994__30_3_467_0/}
}
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Marcus, Michael B.; Rosen, Jay. Laws of the iterated logarithm for the local times of recurrent random walks on Z2 and of Lévy processes and Random walks in the domain of attraction of Cauchy random variables. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 3, pp. 467-499. http://www.numdam.org/item/AIHPB_1994__30_3_467_0/

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