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This research was in part supported by a grant from IPM (No.. this paper is to consider matrices whose entries are obtained by recursive formulas and are related to two sequences,
Yor : An Analogue of Pitman’s 2M − X Theorem for Exponential Wiener Functionals, Part II: The Role of the Generalized Inverse Gaussian laws, Nagoya Math. Yor : Some changes
We study the problem of directed polymers in gaussian environments in Z d from the viewpoint of a gaussian family indexed by the set of random walk paths.. In the zero-temperature
If a random walk characterized by conductances is started at the root of a tree, it is well known [3] that the escape probability equals the ratio of the effective conductance of
of Z provides an appropriate sequence of (random) partitions upon which one can build a stochastic calculus with respect to Z. of Z in order to define and study weighted
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
The main purpose of this paper is to derive convergence rates in the central limit theorems (or Berry-Esseen bounds) for the number of maxima in samples chosen uniformly at random
To prove this theorem we extend the bounds proved in [ 2 ] for the continuous time simple random walk on (Γ , µ ) to the slightly more general random walks X and Y defined
