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We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. Two short-pulse equations (SPEs) are derived for the high- a...
We develop coarse-graining schemes for stochastic many-particle microscopic models with competing short- and long-range interactions on a d-dimensional lattice. We focus on the coarse-graining of equi...
Under what conditions is an edge present in a social network at time t likely to decay or persist by some future time t + Delta(t)? Previous research addressing this issue suggests that the network ra...
Woodall and Montgomery [35] in a discussion paper, state that multivariate process control is one of the most rapidly developing sections of statistical process control. Nowadays, in industry, there a...
Chernoff proves an inequality using Hemite polynomials. Here we prove and generalize this inequality using Cauchy - Schwartz inequality and Fubini equality.
Wc mnf;i&r the paablem of density estimation for m a one-sided linear prosees X, = zt _ , a, Z, , with i.id square iategra- Me kovatims - We prove that under weak contritions on (ai)&, which imply ...
In this paper we consider the central limit theorems for functionals G: R"' -, R of one-sided m-dimensional linear processes X, = xr= A, 2,-, , where A, is a nonrandom matrix m x in and 2,'s are i....
It is shown that the exact solution for the capability index (CPI) for Gaussian-distributed process with target bias can be expressed in terms of an unbiased CPI and a normalized target bias. The prin...
A different but very short proof of a recent result of Khoshnevisan.
We study two statistical models for short-length categorical (or ordinal) time series. The first one is a regression model based on generalized linear model. The second one is a parametrized Markovia...

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