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In the two main results, the presence of the sequences related to partitions of sets or numbers, respectively, is evident: labeled topologies create set partitions (induced by
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
Bertoin [4, 5] gave a different approach to obtain the same fragmentation processes, by using partitions of intervals induced by some bridges with exchangeable increments (the
Key words: Fractional difference-differential equations; Generalized Mittag-Leffler functions; Fractional Poisson processes; Processes with random time; Renewal function; Cox
Key words: Random walk among random conductances, functional limit theorems, fractional kinetics, trap models.. AMS 2000 Subject Classification:
Among various partition distributions (i.e., probability distributions on a set of integer partitions), we are concerned in this paper with partition structure, which was introduced
Key words: Multivariate and functional central limit theorems, random fields, martingale limit theorems, self-interacting Markov chains, Markov chain Monte Carlo methods,
CENTRAL LIMIT THEOREMS FOR THE PRODUCTS OF RANDOM MATRICES SAMPLED BY A RANDOM WALK.. FR´ ED´ ERIQUE DUHEILLE-BIENVEN
