作者：Bercovici, H; Pata, V
摘要：In this paper we determine the distributional behavior of sums of free (in the sense of Voiculescu) identically distributed, infinitesimal random variables. The theory is shown to parallel the classical theory of independent random variables, though the limit laws are usually quite different. Our work subsumes all previously known instances of weak convergence of sums of free, identically distributed random variables. In particular, we determine the domains of attraction of stable distribution...
作者：Christ, M; Nagel, A; Stein, EM; Wainger, S
作者：White, B
摘要：We prove (without using Federer's structure theorem) that a finite-mass flat chain over any coefficient group is rectifiable if and only if almost all of its 0-dimensional slices are rectifiable. This implies that every flat chain of finite mass and finite size is rectifiable. It also leads to a simple necessary and sufficient condition on the coefficient group in order for every finite-mass flat chain to be rectifiable.
作者：He, ZX
摘要：Let P be a locally finite disk pattern on the complex plane C whose combinatorics are described by the one-skeleton G of a triangulation of the open topological disk and whose dihedral angles are equal to a function Theta E --> [0, pi/2] on the set of edges. Let P* be a combinatorially equivalent disk pattern on the plane with the same dihedral angle function. We show that P and P* differ only by a euclidean similarity. In particular, when the dihedral angle function Theta is identically zero,...
