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://archive.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://archive.numdam.org/item/AIHPB_1994__30_3_467_0/

[BGT] N. Bingham, C. Goldie and J. Teugels, Regular Variation, 1987, Cambridge Univ. | MR | Zbl

[ET] P. Erdös and S.J. Taylor, Some problems concerning the structure of random walk paths, Acta Math. Acad. Sci. Hung., 11, 1960, p. 137-162. | MR | Zbl

[F] B. Fristedt, Sample functions of stochastic processes with stationary independent increments, Advances in Probability and Related Topics, 3, 1974, p. 241-396, Marcel Dekker, NY. | MR | Zbl

[FP] B. Fristedt and W. Pruitt, Lower functions for increasing random walks and subordinators, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 18, 1971, p. 167-182. | MR | Zbl

[K] H. Kesten, Hitting probabilities of single points for processes with stationary independent increments, Memoir N° 93, 1969, Amer. Math. Soc. | MR | Zbl

[Ka] J.P. Kahane, Some random series of functions, Heath Math. Monographs, 1968, Cambridge Univ. Press, 1985, 2nd edn. | MR | Zbl

[MR1] M.B. Marcus and J. Rosen, Laws of the iterated logarithm for the local times of symmetric Lévy processes and recurrent random walks, 1992, Annals of Probability, To appear. | MR | Zbl

[MR2] M.B. Marcus and J. Rosen, Moment generating functions for the local times of symmetric Markov processes and random walks, Probability in Banach Spaces, 8, 30, 1992, p. 364-378, Birkhauser, Boston. | MR | Zbl

[P] E.J.G. Pitman, Some theorems on characteristic functions of probability distributions, Proc. Fourth Berkeley Symposium, II, 1961, p. 393-402, Univ. of California Press, Berkeley. | MR | Zbl