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Stochastic fixed point equation, weighted branching process, infinite divisibility, L´evy measure, Choquet-Deny theorem, stable distributions.. AMS 2000
Section 3 gives estimates on the first and second moments of the killed branching random walk, while Section 4 contains the asymptotics on the tail distribution of the maximal
We refine the results of [ 5 ] for dynamical random walk on Z 2 , showing that with probability one the are times when the origin is visited only a.. finite number of times while
Keywords: Local time, favourite site, random walk, Wiener process AMS subject classification: 60J55, 60J15, 60J65.. Submitted to EJP on March
We also define the corresponding notion of martingale, show that several standard examples of martingales (for example, sums or products of suitable inde- pendent random variables
Abstract We give sharp rates of convergence for a natural Markov chain on the space of phylogenetic trees and dually for the natural random walk on the set of perfect matchings in
This investigation is motivated by a result we proved recently for the random transposition random walk: the distance from the starting point of the walk has a phase transition from
In- deed, one operates first a time change to bring up the fact that the random walk viewed only on a strong cluster (i.e. constituted of edges of order 1) has a standard