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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Critical Allard regularity in dimension two and its application
二维中临界 阿拉德规律性 欧几里得空间
2023/5/5
The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the original point with volume density close to 1 and generalized mean curvature sm...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some special cases of the three dimensional Kakeya conjecture and their application to the restriction conjecture
三维Kakeya猜想 特殊情况 限制猜想
2023/5/9
We will discuss two special cases of the three-dimensional Kakeya conjecture: SL_2 Kakeya and a refined Wolff's hairbrush result. As an application of the refined Wolff's hairbrush result, we will dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On polynomial method and its application（III）
多项式方法 多项式划分 关联几何
2023/5/10
We will introduce the polynomial partitioning method which has wide applications in incidence geometry, geometric measure theory, and harmonic analysis. In the first course, we will present some basic...
Shifted Riccati Procedure: Application to Conformal Barotropic FRW Cosmologies
factorization shifted Riccati procedure barotropic FRW cosmologies
2011/3/2
In the case of barotropic FRW cosmologies, the Hubble parameter in conformal time is the solution of a simple Riccati equation of constant coefficients. We consider these cosmologies in the framework ...
Geometry of Darboux-Manakov-Zakharov systems and its application
Darboux-Manakov-Zakharov systems Geometry
2010/4/2
The intrinsic geometric properties of generalized Darboux-Manakov-Zakharov systems of semilinear partial differential equations \label{GDMZabstract} \frac{\partial^2 u}{\partial x_i\partial x_j}=f_{ij...
Application of Hilbert's Projective metric on Symmetric Cones
Hilbert's projective metric Symmetric cone
2007/12/11
Let $\Omega$ be a symmetric cone. In this note, we introduce Hilbert's projective metric on $\Omega$ in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation...
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
lattice Boltzmann method
2007/8/15
2001Vol.35No.5pp.593-596DOI:
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
WAN Rong-Zheng and F...
On an Application of the Hardy Classes to the Riemann Zeta-Function
Riemann zeta-function Hardy class Poisson representation
2010/3/1
We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.
Application of Tree-like Structure of Graph to Matrix Analysis
Application Tree-like Structure Matrix Analysis
2010/11/1
Formulas for matrix determinants, algebraic adjunctions, characteristic polynomial coefficients, components of eigenvectors are obtained in the form of signless sums of matrix elements products taking...