4期

最新文章

• Large deviations and continuum limit in the 2D Ising model AI翻译
  作者：Pfister, CE; Velenik, Y
  摘要：We study the 2D Ising model in a rectangular box Lambda(L) of linear size O(L). We determine the exact asymptotic behaviour of the large deviations of the magnetization Sigma(t is an element of Lambda L) sigma(t) when L --> infinity for values of the parameters of the model corresponding to the phase coexistence region, where the order parameter m* is strictly positive. We study in particular boundary effects due to an arbitrary real-valued boundary magnetic field. Using the self-duality of th...
• One-sided local large deviation and renewal theorems in the case of infinite mean AI翻译
  作者：Doney, RA
  摘要：If {S-n, n greater than or equal to 0} is an integer-valued random walk such that S-n/a(n) converges in distribution to a stable law of index alpha is an element of (0, 1) as n --> infinity, then Gnedenko's local limit theorem provides a useful estimate for P{S-n = r} for values of r such that r/a(n) is bounded. The main point of this paper is to show that, under certain circumstances, there is another estimate which is valid when r/a(n) --> +infinity, in other words to establish a large devia...
• Logarithmic Sobolev inequality for generalized simple exclusion processes AI翻译
  作者：Yau, HT
  摘要：Let <(mu)over bar> be a probability measure on the set {0,1,...,R} for some R is an element of N and Lambda(L) a cube of width L in Z(d). Denote by mu(Lambda L)(gc) the (grand canonical) product measure on the configuration space on Lambda(L) with <(mu)over bar> as the marginal measure; here the superscript indicates the grand canonical ensemble. The canonical ensemble, denoted by mu(Lambda L,n)(c), is defined by conditioning mu(Lambda L)(gc) given the total number of particles to be n. Consid...
• Stochastic Jacobi fields and vector fields induced by varying area on path spaces AI翻译
  作者：Lyons, T; Qian, ZM
  摘要：We study two classes of vector fields on the path space over a closed manifold with a Wiener Riemannian measure. By adopting the viewpoint of Yang-Mills field theory, we study a vector field defined by varying a metric connection. We prove that the vector field obtained in this way satisfies a Jacobi field equation which is different from that of classical one by taking in account that a Brownian motion is invariant under the orthogonal group action, so that it is a geometric vector field on t...