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Having observed an m n matrix X whose rows are possibly correlated, we wish to test the hypothesis that the columns are independent of each other. Our motivation comes from microarray studies, where...
We consider a class of operators defined by taking averages along polynomial sequences in discrete nilpotent groups. As in the continuous case, one can consider discrete maximal Radon transforms...
研究包含实数、区间灰数的混合型预测问题. 首先通过计算灰数层的面积和区间灰数的认知程度, 将区间灰数序列转变成实数序列; 然后分别预测灰数层的面积和区间灰数的认知程度, 推导还原得到区间灰数预测模型; 最后通过与现有文献中的实例进行对比, 说明了所提出的建模方法在避免区间灰数之间代数运算的情况下, 提高了建模精度.
We study chaotic orbits of conservative low--dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of $N$ iterates in the large $N$ limit exhi...
The given paper is natural continuation of our previous paper arXiv:1011.4173 We have illustrated earlier, that in the classical Hamilton mechanics for an overwhelming majority of real chaotic macrosc...
The cascade model generates a food web at random. In it the species are labeled from 0 to $m$, and arcs are given at random between pairs of the species. For an arc with endpoints $i$ and $j$ ($i
Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spon...
This study explores a method to characterize temporal structure of intermittent phase locking in oscillatory systems. When an oscillatory system is in a weakly synchronized regime away from a synchron...
In this paper we consider stable marriage problem under the Monte Carlo simulations. We investigate how correlation in lists of preferrences can affect simulation results such as: relaxation time, t...
This paper is concerned with inference based on the mean function of a functional time series, which is defined as a collection of curves obtained by splitting a continuous time record, e.g. into da...
We prove pointwise convergence, as N ! 1, for the multiple ergodic averages 1 N PN n=1 f(T nx) ·g(Sanx), where T and S are commuting measure preserving transformations,and an is a random version of th...
Inter-vehicle communication (IVC) enables vehicles to exchange messages within a limited broadcast range and thus self-organize into dynamical vehicular ad hoc networks. For the foreseeable future, h...
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
We estimate the Lyapunov times (characteristic times of predictabil-ity of motion) in Quillen's (2003) set of models for the dynamics in the Solar neighborhood.
Ordinal Compactness     Ordinal  compactness  topological space       2011/2/24
We extend to ordinal numbers the more usual com-pactness notion defined in terms of two cardinal numbers. Sur-prisingly, ordinal compactness turns out to be a much more var-ied notion than cardinal co...

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