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In the context of ran- dom permutations, this was enough to prove the existence of a coupling of partitions with the desired fragmentation property, using the fact that the
Key words: Random walk among random conductances, functional limit theorems, fractional kinetics, trap models.. AMS 2000 Subject Classification:
In [6] homogeneous fragmentations are rather defined as exchangeable Markov processes whose semi-group have the fragmentation and homogeneity properties.. 3.2
The first one assumes the existence of a sequence of elements of E with the same weight (the corresponding N ( x ) are then exchangeable) and the conditional independence property
Applying known results on weak convergence of random tree walks to Brownian excursion, we give a conceptually simpler rederivation of the Aldous-Pitman (1994) result on convergence
A central limit theorem for random walk in a random environment on marked Galton-Watson trees.. Gabriel
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
It was proved in (7) that SLE(2) is the scaling limit of the corresponding loop-erased random walk (LERW), and SLE(8) is the scaling limit of some uniform spanning tree (UST)