1007.0370v2. 215KB Jun 04 2011 12:07:21 AM
Teks penuh
Garis besar
Dokumen terkait
We give a pure complex variable proof of a theo- rem by Ismail and Stanton and apply this result in the field of integer-valued entire functions4. Our proof rests on a very
To avoid having to comment about trivial exceptions to general statements we assume that G can not be written as the direct sum of two independent Gaussian vectors G ′ and G ′′. This
Keywords: supercitical percolation; exponential decay; renormalization; isoperimetric profile; anchored isoperimetry; random walk on percolation clusters; heat kernel decay; mixing
As before, note that the existence of a flow with finite energy on the percolation cluster is a 0-1 event, so we can assume that 0 belongs to the infinite cluster. has
The purpose of this note is to prove the existence of a non-trivial critical point for the existence of a type of open Lipschitz surface within site percolation on Z d with d ≥ 2..
Keywords: Critical percolation; high-dimensional percolation; triangle condition; chemical dis- tance; intrinsic
On the one hand, it is well-known from the work of Aldous [1] that the uniform random tree on a set of n vertices can be rescaled (specifically edges by a factor 1 / p n and masses
For example when G = T 2 , the binary tree, one can by dividing the edges into properly chosen “families” construct a coupling without disagreement percolation even when p is
