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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Defocusing NLS equation with nonzero background: Painleve asymptotics in transition region
非零背景 散焦NLS方程 过渡区 疼痛渐近
2023/5/5
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar steepest descent method and double scaling limit, we obtain Painleve asymptotics in two transitio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Defocusing NLS equation with nonzero background: Soliton resolution in soliton region
非零背景 散焦NLS方程 孤子区域 孤子分辨率
2023/5/5
Consider to the Cauchy problem of the defocusing NLS equation with a nonzero background. With the Dbar generalization of the nonlinear steepest descent method to compute the leading order approximatio...
Adaptive Multiscale Detection of Filamentary Structures Embedded in a Background of Uniform Random Points
Multiscale Geometric Analysis Pattern Recognition
2015/8/21
We are given a set of n points that appears uniformly distributed in the unit square [0,1]2.
We wish to test whether the set actually is generated from a non-uniform distribution having
a small frac...
Stability of Stationary Wave Maps from a Curved Background to a Sphere
Stability of Stationary Wave Maps Curved Background Sphere
2012/4/18
We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metri...
Dissipative property of the Vlasov-Maxwell-Boltzmann System with a uniform ionic background
Vlasov-Maxwell-Boltzmann system energy method dissipation rate time-decay rate
2011/9/1
Abstract: In this paper we discuss the dissipative property of near-equilibrium classical solutions to the Cauchy problem of the Vlasov-Maxwell-Boltzmann System in the whole space $\R^3$ when the posi...
Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound states for the one-dimensional inversely linear background
Duffin-Kemmer-Petiau theory nonminimal coupling Klein’s paradox
2010/12/1
The problem of spin-0 and spin-1 bosons in the background of a general mixing of minimal and
nonminimal vector inversely linear potentials is explored in a unified way in the context of the Duffin-Ke...
Multiple M0-brane system in an arbitrary eleven dimensional supergravity background
Multiple M0-brane system arbitrary dimensional supergravity background
2010/12/16
The equations of motion of multiple M0–brane (multiple M-wave or mM0) system in an arbitrary
D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter-action w...
Separation of variables and explicit theta-function solution of the classical Steklov--Lyapunov systems: A geometric and algebraic geometric background
Separation of variables explicit theta-function solution
2010/4/6
The paper revises the explicit integration of the classical Steklov--Lyapunov systems via separation of variables, which was first made by F. K\"otter in 1900, but was not well understood until recent...
An Efficient Voting Algorithm for Finding Additive Biclusters with Random Background
additive bicluster,computational biology, gene expression data analysis, polynomialtime algorithm, probability model.
2012/12/3
The biclustering problem has been extensively studied in many areas, including e-commerce,；data mining, machine learning, pattern recognition, statistics, and, more recently, computational；biology. Gi...
Finding Additive Biclusters with Random Background
bicluster Cherno bound polynomial-time algorithm probability
2012/11/30
The biclustering problem has been extensively studied in many areas including e-commerce, data mining, machine learning, pattern recognition,statistics, and more recently in computational biology. Giv...