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Subordinated processes are processes constructed from integral representations with random kernels, or said another way, where the stable random measure (of the integral
Key words: intersection local time, moderate deviations, planar, random walks, large de- viations, Brownian motion, Gagliardo-Nirenberg, law of the iterated logarithm.. AMS 2000
Binary search tree, branching random walk, convergence of martingales AMS 2000 Subject Classification... Write BinTree for the set of complete
(1978), Marcinkiewicz Laws and Convergence Rates in the Law of Large Numbers for Random Variables with multidimensional indices. (1980), Convergence Rates for Probabilities of
Recently Diaconis and Miclo [ 5 ] have given another formulation using iterated random function Markov chains that allows them to deduce more information about the limiting shape
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
We prove that for symmetric Markov processes of diffusion type admitting a “carré du champ”, the Poincaré inequality is equivalent to the exponential convergence of the
Key words: Weak convergence, Bernoulli random walks, Brownian meander, bridge, ex- cursion, peaks.... } be the set of
