Abstract
The paths of bilateral reflected simple random walks in dimension d≥5 have a.s. infinitely many cut times.
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Références
Burdzy, K., (1989). Cut points on Brownian paths. Ann. Proba. 17, 1012–1036.
Dvoretsky, A., Erdös, P., Kakutani, S., (1950). Double points of paths of Brownian motions in n-space. Acta. Sci. Math. Szeged. 12, 75–81.
Lawler, G., (1991). Intersections of Random Walks. Birkhäuser, Boston.
Lawler, G., (1996). Hausdorff dimension of cut points for Brownian motion. Electronical Journal of Probability 1, paper no 2.
Lawler, G., (1996). Cut times for simple random walk. Electronical Journal of Probability 1, paper no 13.
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© 1998 Springer-Verlag
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Lagaize, S. (1998). Sur les temps de coupure des marches aléatoires réfléchies. In: Azéma, J., Yor, M., Émery, M., Ledoux, M. (eds) Séminaire de Probabilités XXXII. Lecture Notes in Mathematics, vol 1686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101772
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DOI: https://doi.org/10.1007/BFb0101772
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