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“确定一般线性码的所有可能的重量谱”是通信系统中提出的一个有重要科学意义的基本理论问题. 但当k 或q 稍大时, 对于k 维q 元码, 这是不可能的, 问题的合理提法修改成: “确定k 维q 元一般线性码几乎所有的重量谱”. 基于有限射影几何方法, 本文研究V 类5 维q 元线性码, 文中找出了V 类5 维码的重量谱的新必要条件, 把V 类5 维码的重量谱分为两个子类,并发展改进了“子空间集法”,...
Limit theorems for bifurcating autoregressive processes with missing data
Limit theorems bifurcating autoregressive processes missing data
2011/1/4
We study the asymptotic behavior of the least squares estimators of the unknown parameters of bifurcating autoregressive processes when some of the data are missing. We model the process of observed d...
A new method of description of three-particle Coulombic systems
three-body atomic systems hyperspherical functions
2011/3/2
We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for...
Non-Gaussian gravitational clustering field statistics
large-scale structure of Universe – galaxies clusters
2011/3/2
In this work we investigate the multivariate statistical description of the matter distribution
in the nonlinear regime.
Some fascinating series and their sums
identities series sums algebraic and trigonometric series
2011/3/1
In this paper we present some interesting results involving summation of series in particular trigonometric ones.
Imagerie laser
Imagerie laser
2011/1/14
Laser imaging. We derive an original direct imaging method of an object. It is based on topological derivatives, and aims at inverting the amplitude of waves that are retropropagated after laser illum...
Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts.Firstly as field theories on noncommutat...
Classical quarks in dual electromagnetic fields
Classical quarks dual electromagnetic fields
2011/1/18
Electromagnetic properties of quark-like particles are examined in a classical field model involving extended dual electromagnetic fields. These can have fractional charges and a confining potential t...
Statistically Quasi-Cauchy Sequences
Quasi-Cauchy sequences slowly oscillating sequences summability
2011/2/28
A subset E of a metric space (X, d) is totally bounded if and only if any sequence of points in E has a Cauchy subsequence. We call a sequence (xn) statistically quasi-Cauchy if st − limn!1 d(xn...
A Roe-type Riemann solver based on the spectral decomposition of the equations of Relativistic Magnetohydrodynamics
Roe-type Riemann solver spectral decomposition equations of Relativistic Magnetohydrodynamics
2011/3/2
In a recent paper (Ant´on et al. 2010) we have derived sets of right and left eigenvectors of the Jacobians of the relativistic MHD equations, which are regular and span a complete basis in any ...
Many-particle mechanics with D(2,1;alpha) superconformal symmetry
Many-particle mechanics superconformal symmetry
2011/3/3
We overcome the barrier of constructing N=4 superconformal models in one space dimension for
more than three particles. The D(2, 1; ) superalgebra of our systems is realized on the coordinates and m...
Isoradial graphs are a natural generalization of regular graphs which give,for many models of statistical mechanics, the right framework for studying models at criticality.
On invariant Gibbs measures conditioned on mass and momentum
Gibbs measure Schr¨odinger equation Kortweg-de Vries equation
2011/2/21
We construct a Gibbs measure for the nonlinear Schr¨odinger equation (NLS)on the circle, conditioned on prescribed mass and momentum:dμa,b = Z−1 1 {´T |u|2=a} 1 {i ´T uux=b}e±1
p &a...
Combinatorial methods of character enumeration for the unitriangular group
Combinatorial methods of character enumeration unitriangular group
2011/1/20
Let UTn(q) denote the unitriangular group of unipotent n×n upper triangular matrices over
a field with q elements. The numbers which appear as the degrees of the complex irreducible
characters of UT...
Supersymmetric heterotic string models, built from a Calabi-Yau threefold X endowed with a stable vector bundle V , usually start from a phenomenologically motivated choice of a bundle Vv in the visib...