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We consider the interplay of linear double-well-potential (DWP) structures and nonlinear longrange interactions of different types, motivated by applications to nonlinear optics and matter waves. We f...
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...
In this note the relation between the range-renewal speed and entropy for i.i.d. models is discussed.
In this paper we propose a generalization of a class of Gaussian Semiparametric Estimators (GSE) of the fractional differencing parameter for long-range dependent multivariate time series. We generali...
Given $n$ samples of a regular discrete distribution $\pi$, we prove in this article first a serial of SLLNs results (of Dvoretzky and Erd\"{o}s' type) which implies a typical power law when $\pi$ is ...
We consider the problem of estimating the unknown response function in the multichannel deconvolution model with long-range dependent Gaussian errors. We do not limit our consideration to a specific t...
We investigate the power of the CUSUM test and the Wilcoxon change-point test for a shift in the mean of a process with long-range dependent noise. We derive analytiv formulas for the power of these t...
In Internet environment, traffic flow to a link is typically modeled by superposition of ON/OFF based sources. During each ON-period for a particular source, packets arrive according to a Poisson pr...
The limitation of permutation tests is that they assume exchangeability. It is shown that in generalized linear models one can construct permutation tests from score statistics in particular cases. ...
We discuss the optimal design problem in regression models with long-range dependence error structure. Asymptotic optimal designs are derived and it is demonstrated that these designs depend only in...
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....
Consider independent long range percolation on $mathbf{Z}^d$, $dgeq 2$, where edges of length $n$ are open with probability $p_n$. We show that if $limsup_{ntoinfty}p_n>0,$ then there exists an i...
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical ste...
We present the results of a simulation study into the properties of 12 different estimators of the Hurst parameter, H, or the fractional integration parameter, d, in long memory time series. We comp...

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