Laws of the iterated logarithm for intersections of random walks on Z4
Annales de l'I.H.P. Probabilités et statistiques (1997)
- Volume: 33, Issue: 1, page 37-63
- ISSN: 0246-0203
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topMarcus, Michael B., and Rosen, Jay. "Laws of the iterated logarithm for intersections of random walks on Z4." Annales de l'I.H.P. Probabilités et statistiques 33.1 (1997): 37-63. <http://eudml.org/doc/77560>.
@article{Marcus1997,
author = {Marcus, Michael B., Rosen, Jay},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {laws of the iterated logarithm; symmetric random walk; number of intersections},
language = {eng},
number = {1},
pages = {37-63},
publisher = {Gauthier-Villars},
title = {Laws of the iterated logarithm for intersections of random walks on Z4},
url = {http://eudml.org/doc/77560},
volume = {33},
year = {1997},
}
TY - JOUR
AU - Marcus, Michael B.
AU - Rosen, Jay
TI - Laws of the iterated logarithm for intersections of random walks on Z4
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1997
PB - Gauthier-Villars
VL - 33
IS - 1
SP - 37
EP - 63
LA - eng
KW - laws of the iterated logarithm; symmetric random walk; number of intersections
UR - http://eudml.org/doc/77560
ER -
References
top- [1] L. Breiman, Probability, Society for Industrial and Applied Mathematics, Philadelphia, 1992. Zbl0753.60001MR1163370
- [2] J.-F. Le Gall, Propriétés d'intersection des marches aléatoires, II, Comm. Math. Phys., Vol. 104, 1986, pp. 509-528. Zbl0609.60079MR840749
- [3] J.-F. Le Gall and J. Rosen, The range of stable random walks, Ann. Probab., Vol. 19, 1991, pp. 650-705. Zbl0729.60066MR1106281
- [4] G. Lawler, A note on the Green's function for random walk in four dimensions, Duke Math. Department, preprint.
- [5] M. Marcus and J. Rosen, Laws of the iterated logarithm for the local times of recurrent random walks on Z2 and of Lévy processes and recurrent random walks in the domain of attraction of Cauchy random variables, Ann. Inst. H. Poincaré Prob. Stat., Vol. 30, 1994, pp. 467-499. Zbl0805.60069MR1288360
- [6] M. Marcus and J. Rosen, Laws of the iterated logarithm for the local times of symmetric Levy processes and recurrent random walks, Ann. Probab., Vol. 22, 1994, pp. 626-658. Zbl0815.60073MR1288125
- [7] F. Spitzer, Principles of random walk, Springer Verlag, New York, 1976. Zbl0359.60003MR388547
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