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作者：ELTON, J; HILL, TP
摘要：Starting with a Borel probability measure P on X (where X is a separable Banach space or a compact metrizable convex subset of a locally convex topological vector space), the class F(P), called the fusions of P, consists of all Borel probability measures on X which can be obtained from P by fusing parts of the mass of P, that is, by collapsing parts of the mass of P to their respective barycenters. The class F(P) is shown to be convex, and the ordering induced on the space of all Borel probabi...
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作者：ROSEN, J
摘要：In this paper we develop an asymptotic expansion for the epsilon-neighborhood of the symmetric stable process of order beta, 1 < beta < 2. Our expansion is in powers of epsilon-2-beta with the nth coefficient related to n-fold self-intersections of our stable process.
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作者：CHEN, D; LIGGETT, TM
作者单位：Peking University
摘要：In this article we propose and study finite reversible nearest particle systems in inhomogeneous and random environments. Using the Dirichlet principle and the ergodic theorem we prove that a finite reversible nearest particle system in a random environment determined by an i.i.d. sequence lambda(i) survives if E log lambda(i) > 0 and dies out if E-lambda(i) < 1. Some discussion is provided to show that both survival and extinction may happen when E log lambda(i) < 0 and E-lambda(i) > 1.
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作者：BIGGINS, JD
摘要：In a discrete-time supercritical branching random walk, let Z(n) be the point process formed by the nth generation. Let m(lambda) be the Laplace transform of the intensity measure of Z(1). Then W(n)(lambda) = integral e(-lambda-x)Z(n)(dx)/m(lambda)n, which is the Laplace transform of Z(n) normalized by its expected value, forms a martingale for any lambda with \m(lambda)\ finite but nonzero. The convergence of these martingales uniformly in lambda, for lambda lying in a suitable set, is the fi...
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作者：LANDIM, C
摘要：We obtain the decay rate of the large deviation probabilities of occupation time for the symmetric simple exclusion process. Furthermore, in dimension d not-equal 2, we prove a large deviation principle for the occupation time. To obtain these results, we prove hydrodynamical limits for the weakly asymmetric simple exclusion process and we prove a large deviation principle for the empirical density for the symmetric simple exclusion process.
