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Suppose that Corollary 4.1 holds true, and let A and B be finite non-empty subsets of an abelian group.. The following immediate corollary of Conjecture 4.1, as we will see shortly,
, Laws of the iterated logarithm for the local times of recurrent ran- dom walks on Z 2 and of Levy processes and recurrent random walks in the domain of attraction of Cauchy
We also discuss applications of these bounds to the central limit theorem, simple random sampling, Poisson- Charlier approximation and geometric approximation using
Binary search tree, branching random walk, convergence of martingales AMS 2000 Subject Classification... Write BinTree for the set of complete
Recall that the excursions of the reflecting Brownian motion ξ from zero determine a family of rooted trees to which we add marks according to a Poisson point process of intensity 2
Key words: Character, convex cone, Laplace transform, LePage series, L´evy measure, point process, Poisson process, random measure, random set, semigroup, stable
Returning to the setting of finite Markov chains, it was mentioned above that the random transposition random walk on the symmetric group S n was the first example for which a
In the case where all summands have the same conditional distribution given that they are non-zero, a bound on the relative entropy distance between their sum and the compound
