作者：LAWLER, GF
摘要：Internal diffusion limited aggregation (internal DLA) is a cluster model in Z(d) where new points are added by starting random walkers at the origin and letting them run until they have found a new point to add to the cluster. It has been shown that the limiting shape of internal DLA. clusters is spherical. Here we show that for d greater than or equal to 2 the fluctuations are subdiffusive; in fact, that they are of order at most n(1/3), at least up to logarithmic corrections. More precisely,...
作者：XIAO, YM
摘要：The Hausdorff dimension and packing dimension of the image and graph of Gaussian vector fields and index-alpha stable fields are obtained under general conditions which allow for different local behavior of the components and for dependence among them. These results correct some errors in print. The condition for an index-alpha stable field to have k-multiple points are considered and in the case of Nk > (k - 1)Sigma(j=1)(d)alpha(j), the Hausdorff dimension of the set of k-multiple times is gi...
