getdoc0247. 243KB Jun 04 2011 12:04:01 AM
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The notion of weak uniqueness requiring that the joint distribution of the solution and the stochastic inputs be uniquely determined used by Engelbert and also by Jacod (12) is
We prove a weak version of the law of large numbers for multi-dimensional finite range ran- dom walks in certain mixing elliptic random environments.. This already improves
Recently much work has been done on the (simple or not) random walk on the unique infinite cluster for the supercritical (bond or site) percolation in Z d (see e.g.. Another
We derive a precise link between series expansions of Gaussian random vectors in a Banach space and Parseval frames in their reproducing kernel Hilbert space.. The results are
This makes it possible to calculate the substitution rates to the common ancestor for a much more general set of population genetical models than can be dealt with using the
For a much-studied model of random copolymer at a selective interface we prove that the slope of the critical curve in the weak-disorder limit is strictly smaller than 1, which is
The aim of the present paper is to study the asymptotic volume fraction, namely if fixed- sized grains give the highest volume fraction in the case where the weights are independent
Figure 3: The mean and the variance of the number of dominating records in low dimensional random samples.. In each model, the expected number approaches 1 very fast as d increases
