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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...
区间灰数序列的灰色预测模型构建方法     灰色系统理论  区间灰数  认知程度  混合序列       font style='font-size:12px;'> 2014/2/25
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...
Spans of Preference Functions for De Bruijn Sequences      De Bruijn Sequence  Ford sequence  preference function       font style='font-size:12px;'> 2011/1/19
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 ...
Lyapunov and diffusion timescales in the Solar neighborhood     Lyapunov times  di usion times  stellar dynamics       font style='font-size:12px;'> 2010/12/28
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       font style='font-size:12px;'> 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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