The growth exponent for planar loop-erased random walk.
Masson, Robert (2009)
Electronic Journal of Probability [electronic only]
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Masson, Robert (2009)
Electronic Journal of Probability [electronic only]
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Belhaouari, S., Mountford, T., Sun, Rongfeng, Valle, G. (2006)
Electronic Journal of Probability [electronic only]
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Zerner, Martin P.W. (2006)
Electronic Communications in Probability [electronic only]
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Peter Mörters (2010)
Actes des rencontres du CIRM
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In high dimensions two independent simple random walks have only a finite number of intersections. I describe the main result obtained in a joint paper with Xia Chen in which we determine the exact upper tail behaviour of the intersection local time.
Faggionato, Alessandra (2010)
Electronic Journal of Probability [electronic only]
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Sellke, Thomas (2006)
Electronic Journal of Probability [electronic only]
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Nathanaël Enriquez, Christophe Sabot, Olivier Zindy (2009)
Annales de l’institut Fourier
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We consider transient random walks in random environment on with zero asymptotic speed. A classical result of Kesten, Kozlov and Spitzer says that the hitting time of the level converges in law, after a proper normalization, towards a positive stable law, but they do not obtain a description of its parameter. A different proof of this result is presented, that leads to a complete characterization of this stable law. The case of Dirichlet environment turns out to be remarkably explicit. ...
Tang, Qihe (2006)
Electronic Journal of Probability [electronic only]
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Sakhanenko, A.I. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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