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The widespread relevance of increasingly complex networks requires methods to extract mean-
ingful coarse-grained representations of such systems. For undirected graphs, standard community detection ...
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
Eigenfunctions Very Singular Similarity Solutions Odd-Order Nonlinear Dispersion PDEs
2010/11/11
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled ODEs, are constructed....
A complete unitary similarity invariant for unicellular matrices
invariant unicellular matrices
2010/11/8
Necessary and sufficient conditions for two n-by-n unicellular complex matrices to be unitarily equivalent are established.
Criterion of unitary similarity for upper triangular matrices in general position
upper triangular matrices general position
2010/11/8
Each square complex matrix is unitarily similar to an upper triangular matrix with diagonal entries in any prescribed order. Let A and B be upper triangular n-by-n matrices that (i) are not similar to...
Self-Similarity and Lamperti Convergence for Families of Stochastic Processes
fractional Hougaard motion Hougaard L´ evy process Lamperti Lamperti
2010/11/26
We define a new type of self-similarity for one-parameter families of stochastic processes,
which applies to a number of important families of processes that are not self-similar in the
conventional...
Extended Self Similarity works for the Burgers equation and why
Extended Self-Similarity Burgers equation
2010/4/6
Extended Self-Similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier--Stokes turbulence and thus allows improved determination of intermittency ex...
Similarity reductions of Benjamin-Bona-Mahony equation
Integrability of nonlinear partial differential equations Lie symmetries
2010/9/10
In this paper, we firstly study the classical Lie symmetries of the Benjamin-Bona-Mahony (BBM) equation which is obtained through the Lie group method of infinitesimal transformations. Secondly using ...
From self-similarity to fractional derivative of non-differentiable functions via Mittag-Leffler function
Fractional differentiability self-similar function Mittag-Leffler function
2010/9/14
This short note focuses on the relation between fractional differentiability, self-similarity and the Mittag-Leffler function, and tries to clarify the origin and the very reason for introducing fract...
Similarity approach to the problem of second grade fluid flows over a stretching sheet
Two-dimensional boundary layer flows Viscoelastic second grade fluid
2010/9/15
This paper presents a study of the two-dimensional boundary layer flows of viscoelastic second grade fluid over a stretching sheet by the similarity method. Exploiting that some features of free-param...
专著信息
书名
Relation between weight matrix and substitution matrix: Motif search by similarity.
语种
英文
撰写或编译
作者
Wei-Mou Zheng.郑伟谋
第一作者单位
出版社
Bioinformatics, 2004 (in press)
出版地
出版日期
2004年
月
日
标准书号
介质类型
页数
...
Self-similarity and power-like tails in nonconservative kinetic models
Granular gases overpopulated tails Boltzmann equation
2010/12/6
In this paper, we discuss the large–time behavior of solution of a simple kinetic model of Boltzmann–Maxwell type, such that the temperature is time decreasing and/or time increasing.
Functional self-similarity and renormalization group symmetry in mathematical physics
Functional self-similarity renormalization group symmetry mathematical physics
2010/11/1
The result from developing and applying the notions of functional self-similarity and the Bogoliubov renormalization group to boundary-value problems in mathematical physics during the last decade are...
Similarity Solutions and Collapse in the Attractive Gross-Pitaevskii Equation
Similarity Solutions and Collapse Attractive Gross-Pitaevskii Equation
2010/11/2
We analyse a generalised Gross-Pitaevskii equation involving a paraboloidal trap potential in $D$ space dimensions and generalised to a nonlinearity of order $2n+1$. For {\em attractive} coupling con...