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Matter-wave solitons in the presence of collisional inhomogeneities: Perturbation theory and the impact of derivative terms
Dynamic soliton atomic scattering length nonlinear dynamic
2014/12/24
We investigate the dynamics of matter-wave solitons in the presence of a spatially varying atomic scattering length and nonlinearity. The dynamics of bright and dark solitary waves is studied using th...
Perturbation expansions of signal subspaces for long signals
Perturbation expansions signal subspaces long signals
2010/3/9
Singular Spectrum Analysis and many other subspace-based methods
of signal processing are implicitly relying on the assumption of close prox-
imity of unperturbed and perturbed signal subspaces extr...
Local Influence on Posterior Distributions under Multiplicative Modes of Perturbation
Bayesian robustness case deletion
2009/9/22
Any unperturbed and perturbed posterior density can formally be
linked by a mixture. Many divergences between the unperturbed and perturbed
posterior density-global measures of inuenceof the perturb...
Motion of a Rigid Body under Random Perturbation
rigid body stochastic dierential equation rotation group compact Lie group
2009/4/27
We use stochastic analysis to study the random motion of a rigid body under a white noise perturbation. We obtain a formula for the angular velocity in an average sense and discuss the stability near ...
Finite sample approximation results for principal component analysis：a matrix perturbation approach
Principal component analysis spiked covariance model randommatrix theory matrix perturbation phase transition
2010/3/17
Principal component analysis (PCA) is a standard tool for dimensional
reduction of a set of n observations (samples), each with
p variables. In this paper, using a matrix perturbation approach, we
...