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Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model
planar polygon models new SAW model
2015/3/19
Exact solution of some new planar polygon models. Plus aspects of a ”new” SAW model.
A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...
Periodically driven dynamics of a particle moving in the field of Coulomb plus confining potential
Periodically driven dynamics Coulomb plus confining potential
2011/7/7
Periodically driven dynamics of a particle moving in the field Coulomb plus confining potential is treated for one and three dimensional cases. Critical value of the external field strength at which c...
Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality
Ising model Mixing time Phase coexistence Glauber dynamics
2011/1/18
We considerably improve upon the recent result of [34] on the mixing time of Glauber dynamics for the 2d Ising model in a box of side L at low temperature and with random boundary conditions whose dis...
Max-plus analysis on some binary particle systems
Max-plus analysis binary particle systems
2010/12/28
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors.
Best approximation in max-plus semimodules
Elements of best approximation Max-plus algebra
2011/2/28
We establish new results concerning projectors on max-plus spaces, as well as separating half-spaces, and derive an explicit formula for the distance in Hilbert's projective metric between a point and...
Kernel random matrices have attracted a lot of interest in recent years, from both practical and theoretical standpoints. Most of the theoretical work so far has focused on the case were the data is s...
Le plus grand facteur premier de la fonction de Landau
maximal order symmetric group distribution of primes
2010/12/7
After Landau, let us define g(n) as the maximal order of a per-mutation of the symmetric group Sn on n letters. We give several estimates of the largest prime divisor P+(g(n)) of g(n).
Almost sure localization of the eigenvalues in a gaussian information plus noise model. Applications to the spiked models
localization eigenvalues gaussian information plus noise model
2010/12/14
Let §N be a M ×N randommatrix defined by §N = BN +σWN where BN is a uniformly bounded deterministicmatrix andwhereWN is an independent identically distributed complex Gaussianmatrix with zeromean and ...
S-PLUS与Visual C++随机数发生器性质的比较
均匀随机数发生器 参数检验 $\chi^2$检验 序列检验 列联表检验 周期检验
2008/11/25
本文通过对统计软件S-PLUS和Visual C++6.0自带的随机数发生器产生的一定数量的随机数进行参数检验、均匀性检验、独立性检验以及周期检验后, 发现S-PLUS产生的随机数列均匀性、独立性以及周期明显地优于VC++.