Convergence of coalescing nonsimple random walks to the Brownian web.
Newman, Charles M., Ravishankar, Krishnamurthi, Sun, Rongfeng (2005)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Abstracts”
Convergence of coalescing nonsimple random walks to the Brownian web.
Perturbed random walks and Brownian motions, and local times.
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Scaling limit of the prudent walk.
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A lower bound on the growth exponent for loop-erased random walk in two dimensions
Gregory F. Lawler (1999)
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The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
N. Enriquez, C. Lucas, F. Simenhaus (2010)
Annales de l'I.H.P. Probabilités et statistiques
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We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
Simulations and conjectures for disconnection exponents.
Puckette, Emily E., Werner, Wendelin (1996)
Electronic Communications in Probability [electronic only]
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An asymptotic result for brownian polymers
Thomas Mountford, Pierre Tarrès (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a model of the shape of a growing polymer introduced by Durrett and Rogers ( (1992) 337–349). We prove their conjecture about the asymptotic behavior of the underlying continuous process (corresponding to the location of the end of the polymer at time ) for a particular type of repelling interaction function without compact support.
A functional limit theorem for a 2D-random walk with dependent marginals.
Guillotin-Plantard, Nadine, Le Ny, Arnaud (2008)
Electronic Communications in Probability [electronic only]
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Superdiffusivity for directed polymer in corelated random environment
Hubert Lacoin (2010)
Actes des rencontres du CIRM
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The directed polymer in random environment models the behavior of a polymer chain in a solution with impurities. It is a particular case of random walk in random environment. In dimensional environment is has been shown by Petermann that this random walk is superdiffusive. We show superdiffusivity properties are reinforced were there are long ranged correlation in the environment and that super diffusivity also occurs in higher dimensions.