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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hausdorff dimension, singular vectors and divergent trajectories
豪斯多夫维数 奇异向量 发散轨迹
2023/5/12
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Geometric Singular Perturbation Theory and Traveling Pulses with Monotone Tails in a Diffusive Rosenzweig MacArthur Model
扩散 罗森茨威格麦克阿瑟模型 几何奇异摄动理论 单调尾巴行进脉冲
2023/5/5
In this talk, we first briefly review history of the geometric singular perturbation theory, then talk about the traveling pulses for a diffusive Rosenzweig MacArthur model. We show the existence of t...
Singular Hopf Bifurcation in Systems with Two Slow Variables
Hopf bifurcation mixed mode oscillation singular perturbation
2015/8/25
Hopf bifurcations have been studied intensively in two dimensional vector fields with one slow
and one fast variable [′E. Benoˆıt et al., Collect. Math., 31 (1981), pp. 37–119; F. Dumortier...
A SINGULAR VALUE THRESHOLDING ALGORITHM FOR MATRIX COMPLETION
Nuclear norm minimization matrix completion singular value thresholding Lagrange dual function Uzawa’s algorithm and linearized Bregman iteration
2015/6/17
This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxat...
Frobenius 3-folds via singular flat 3-webs
Frobenius 3-folds singular flat 3-webs Differential Geometry
2012/6/15
We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius 3-fold germ via a singular 3-web germ sa...
Notes on a slice distance for singular Lp-bundles
Notes slice distance singular Lp-bundles Differential Geometry
2012/4/17
A slice distance for the class of weak abelian Lp-bundles in 3 dimensions was introduced in a previous article in collaboration with Tristan Rivi\`ere, where it was used to prove the closure of such c...
Some Singular Limit Laminations of Embedded Minimal Planar Domains
Singular Limit Laminations Embedded Minimal Planar Domains Differential Geometry
2011/9/15
Abstract: In this paper we give two examples of sequences of embedded minimal planar domains in $\mathbb{R}^3$ which converge to singular laminations of $\mathbb{R}^3$. In contrast with the situation ...
Supersymmetry transformations for singular potentials
Supersymmetry transformations singular potentials
2011/3/2
Wemake a detailed study of the first and second-order SUSYpartners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the secon...
On the canonical structure of regular pencil of singular matrix-functions
singular matrix-functions math
2010/11/15
The work is devoted to investigation of the canonical structure of regular, in domain of definition ${\cal U}\subseteq {\mathbb R}^{m}$, the pencil of matrix-functions $A(x)+\lambda B(x)$. It is supp...
DGMRES method augmented with eigenvectors for computing the Drazin-inverse solution of singular linear systems
Drazin-inverse DGMRES Krylov subspace Itera-tive method Eigenvector
2010/12/10
The DGMRES method for solving Drazin-inverse solution of sin-gular linear systems is generally used with restarting. But the restarting often slows down the convergence and DGMRES often stagnates.
Manin's Conjecture for a Singular Sextic del Pezzo Surface
Manin's Conjecture Singular Sextic del Pezzo Surface
2010/12/6
We prove Manin’s conjecture for a del Pezzo surface of de-gree six which has one singularity of type A2. Moreover, we achieve a meromorphic continuation and explicit expression of the associated heigh...
Estimates for Fourier Transform of Measures Supported on Singular Hypersurfaces
Oscillatory Integrals oscillation index singular hypersurfaces curvature
2010/2/26
We consider hypersurfaces S \subset \RR3 with zero Gaussian curvature at every ordinary point with surface measure dS and define the surface measure dm = y(x)dS(x) for smooth function y with compact s...