The Aizenman-Sims-Starr and Guerra's schemes for the SK model with multidimensional spins.
The almost sure central limit theorems for certain order statistics of some stationary Gaussian sequences
Suppose that X1, X2, … is some stationary zero mean Gaussian sequence with unit variance. Let {kn} be a certain nondecreasing sequence of positive integers, [...] denote the kn largest maximum of X1, … Xn. We aim at proving the almost sure central limit theorems for the suitably normalized sequence [...] under certain additional assumptions on {kn} and the covariance function [...]
The almost sure invariance principle for the empirical process of U-statistic structure
The Analogues of Entropy and of Fisher's Information Measure in Free Probability Theory III: The Absence of Cartan Subalgebras.
The analogues of entropy and of Fisher's information measure in free probability theory, II.
The analytic fixed point function. II.
The Apollonian decay of beer foam bubble size distribution and the lattices of Young diagrams and their correlated mixing functions.
The approximate Euler method for Lévy driven stochastic differential equations
The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk
We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a brownian motion which turns out to be a new interpretation of the Arcsine law.
The asymmetric simple exclusion model with multiple shocks
The asymptotic behavior of fragmentation processes
The fragmentation processes considered in this work are self-similar Markov processes which are meant to describe the evolution of a mass that falls apart randomly as time passes. We investigate their pathwise asymptotic behavior as . In the so-called homogeneous case, we first point at a law of large numbers and a central limit theorem for (a modified version of) the empirical distribution of the fragments at time . These results are reminiscent of those of Asmussen and Kaplan [3] and Biggins...
The asymptotic behavior of the average -discrepancies and a randomized discrepancy.
The Asymptotic Behaviour of Certain Addititve Functionals of Brownian Motion.
The asymptotic composition of supercritical, multi-type branching populations
The asymptotic distribution of the bootstrap sample mean of an infinitesimal array
The asymptotics of spherical functions and the central limit theorem on symmetric cones
We prove a central limit theorem for certain invariant random variables on the symmetric cone in a formally real Jordan algebra. This extends form the previous results of Richards and Terras on the cone of real positive definite matrices.
The Atiyah-Singer index theorem for families of Dirac operators: Two heat equation proofs.
The atomic and molecular nature of matter.
The purpose of this article is to show that electrons and protons, interacting by Coulomb forces and governed by quantum statistical mechanics at suitable temperature and density, form a gas of Hydrogen atoms or molecules.
The average density of super-brownian motion
The axiomatic melting point. Teaching probability theory in Prague during the 1930's.