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In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
Key words: Random walk among random conductances, functional limit theorems, fractional kinetics, trap models.. AMS 2000 Subject Classification:
Abstract. Following the investigation by U. Thorbjørnsen, we present a simple differential approach to the limit theorems for empirical spectral distributions of complex random
Amongst other things, Aldous proved that the CRT is the scaling limit of a wide class of discrete random trees (in particular it is the scaling limit of uniformly distributed
Zinn: Hyper- contractivity and comparison of moments of iterated maxima and minima of independent random variables, Electronic J. Zinn: Convergence to a stable distribution via
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
Key words: Weak convergence, Bernoulli random walks, Brownian meander, bridge, ex- cursion, peaks.... } be the set of
