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Displaying similar documents to “Martin boundaries associated with a killed random walk”

Shape transition under excess self-intersections for transient random walk

Amine Asselah (2010)

Annales de l'I.H.P. Probabilités et statistiques

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We reveal a shape transition for a transient simple random walk forced to realize an excess -norm of the local times, as the parameter crosses the value ()=/(−2). Also, as an application of our approach, we establish a central limit theorem for the -norm of the local times in dimension 4 or more.

Local limit theorems on some non unimodular groups.

Emile Le Page, Marc Peigné (1999)

Revista Matemática Iberoamericana

Similarity:

Let Gd be the semi-direct product of R*+ and Rd, d ≥ 1 and let us consider the product group Gd,N = Gd x RN, N ≥ 1. For a large class of probability measures μ on Gd,N, one prove that there exists ρ(μ) ∈ ]0,1] such that the sequence of finite measures {(n(N+3)/2 / ρ(μ)n) μ*n...