2003

最新文章

• Convergence to equilibrium of conservative particle systems on Zd AI翻译
  作者：Landim, C; Yau, HT
  作者单位：Universite de Rouen Normandie; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); New York University
  摘要：We consider the Ginzburg-Landau process on the lattice Z(d) whose potential is a bounded perturbation of the Gaussian potential. We prove that the decay rate to equilibrium in the variance sense is t(-d/2) up to a logarithmic correction, for any function a with finite triple norm; that is, \\\u\\\ = Sigma(xis an element ofzd) \\partial derivative(etax)u\\(infinity) < infinity.
• An equivalence of H-1 norms for the simple exclusion process AI翻译
  作者：Sethuraman, S
  作者单位：Iowa State University
  摘要：Resolvent H-1 norms with respect to simple exclusion processes play an important role in many problems with respect to additive functionals, tagged particles, and hydrodynamics, among other concerns. Here, general translation-invariant finite-range simple exclusion processes with and without a distinguished particle are considered. For the standard system of indistinguishable particles, it is proved that the corresponding H-1 norms are equivalent, in a sense, to the H-1 norms of a nearest-neig...
• Probabilistic models for vortex filaments based on fractional Brownian motion AI翻译
  作者：Nualart, D; Rovira, C; Tindel, S
  作者单位：University of Barcelona; Universite Paris 13
  摘要：We consider a vortex structure based on a three-dimensional fractional Brownian motion with Hurst parameter H > (1)/(2). We show that the energy H has moments of any order under suitable conditions. When H epsilon ((1)/(2), (1)/(3)) we prove that the intersection energy H-xy can be decomposed into four terms, one of them being a weighted self-intersection local time of the fractional Brownian motion in R-3.
• On the distribution of the square integral of the Brownian bridge (vol 30, pg 253, 2002) AI翻译
  作者：Tolmatz, L
• Concentration inequalities using the entropy method AI翻译
  作者：Boucheron, S; Lugosi, G; Massart, P
  作者单位：Universite Paris Saclay; Centre National de la Recherche Scientifique (CNRS); Pompeu Fabra University
  摘要：We investigate a new methodology, worked out by Ledoux and Massart, to prove concentration-of-measure inequalities. The method is based on certain modified logarithmic Sobolev inequalities. We provide some very simple and general ready-to-use inequalities. One of these inequalities may be considered as an exponential version of the Efron-Stein inequality. The main purpose of this paper is to point out the simplicity and the generality of the approach. We show how the new method can recover man...
• Strong solutions to the stochastic quantization equations AI翻译
  作者：Da Prato, G; Debussche, A
  作者单位：Scuola Normale Superiore di Pisa
  摘要：We prove the existence and uniqueness of a strong solution of the stochastic quantization equation in dimension 2 for almost all initial data with respect to the invariant measure. The method is based on a fixed point result in suitable Besov spaces.
• The lowest crossing in two-dimensional critical percolation AI翻译
  作者：Van den Berg, J; Járai, AA
  作者单位：Centrum Wiskunde & Informatica (CWI); University of British Columbia
  摘要：We study the following problem for critical site percolation on the triangular lattice. Let A and B be sites on a horizontal line e separated by distance n. Consider, in the half-plane above e, the lowest occupied crossing R-n from the half-line left of A to the half-line right of B. We show that the probability that R-n has a site at distance smaller than m from AB is of order (log(n/m))(-1), uniformly in 1 less than or equal to m less than or equal to n/2. Much of our analysis can be carried...
• Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models AI翻译
  作者：Hara, T; Van Der Hofstad, R; Slade, G
  作者单位：Nagoya University; University of British Columbia; Delft University of Technology; Eindhoven University of Technology
  摘要：We consider spread-out models of self-avoiding walk, bond percolation, lattice trees and bond lattice animals on Z(d), having long finite-range connections, above their upper critical dimensions d = 4 (self-avoiding walk), d = 6 (percolation) and d = 8 (trees and animals). The two-point functions for these models are respectively the generating function for self-avoiding walks from the origin to X E Zd, the probability of a connection from 0 to x, and the generating function for lattice trees ...
• Large deviations for the one-dimensional Edwards model AI翻译
  作者：van der Hofstad, R; den Hollander, F; König, W
  作者单位：Eindhoven University of Technology; Technical University of Berlin
  摘要：In this article, we prove a large deviation principle for the empirical drift of a one-dimensional Brownian motion with self-repellence called the Edwards model. Our results extend earlier work in which a law of large numbers and a central limit theorem were derived. In the Edwards model, a path of length T receives a penalty e-(betaHT), where H-T is the self-intersection local time of the path and P E (0, 00) is a parameter called the strength of self-repellence. We identify the rate function...
• Small-time Gaussian behavior of symmetric diffusion semigroups AI翻译
  作者：Hino, M; Ramírez, JA
  作者单位：Kyoto University; Cornell University
  摘要：This work is involved with the short-time asymptotics of diffusion semigroups in a general setting. A generalization of Fang's version of Varadhan's formula is proven for general Dirichlet spaces that are local and conservative. The intrinsic metric appearing in the formula is characterized by pointwise distance for canonical Dirichlet spaces on loop groups.