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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Introduction to Bourguignon-Gauduchon's variation formula for Dirac operators
Dirac算子 Bourguignon-Gauduchon 变分公式
2023/11/13
我们将介绍由Bar-Gauduchon-Moroianu给出的spin流形上Dirac算子在度量变化时一阶变分公式的证明。作为应用，我们将计算Dirac算子沿Ricci flow的一阶变分。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：First-order factors of linear Mahler operators
线性 Mahler operators 一阶因子
2023/4/27
We develop and compare two algorithms for computing first-order right-hand factors in the ring of linear Mahler operators l_r M^r+?+l_1 M+l_0 where l_0,…,l_r are polynomials in x and Mx=x^b M for some...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A family of Monge-Ampère type operators converging to sigma_k, and their Minkowski problems
sigma_k汇聚 蒙日安培型 算子家族 闵可夫斯基问题
2023/4/17
We introduced a new family of translation invariant geometric measures arising from Integral Geometry of convex bodies. These measures are related to a family of new Monge-Ampère type operators conver...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Non-local operators with low-order singular kernels
低阶 奇异内核 非局部 运算符 正则性估计 二阶椭圆方程
2023/4/24
The regularity estimates have well-established for second-order elliptic and parabolic equations, as well as for equations with stable-like non-local operators. Whether similar results hold for non-lo...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：ENERGY, POINTWISE, AND FREE BOUNDARY APPROXIMATION OF THE OBSTACLE PROBLEM FOR NONLOCAL OPERATORS
非局部 算子障碍物 自由边界 近似
2023/4/28
We consider the obstacle problem for a nonlocal elliptic operator, like the integral fractional Laplacian of order $s \in (0,1)$. We derive regularity results in weighted Sobolev spaces, where the wei...
FUSION OF HYPERSPECTRAL AND MULTISPECTRAL IMAGERY WITH REGRESSION KRIGING AND THE LULU OPERATORS; A COMPARISON
Image fusion Regression Kriging LULU operators Classification, Slums
2019/2/28
In this digital world, there is a large requirement of high resolution satellite image. Images at a low resolution may contain relevant information that has to be integrated with the high resolution i...
FROM UAS DATA ACQUISITION TO ACTIONABLE INFORMATION–HOW AN END-TO-END SOLUTION HELPS OIL PALM PLANTATION OPERATORS TO PERFORM A MORE SUSTAINABLE PLANTATION MANAGEMENT
UAS GNSS base line processing Oil Palm Plantations Object-based image analysis Sustainable forestry
2016/7/5
Palm oil represents the most efficient oilseed crop in the world but the production of palm oil involves plantation operations in one of the most fragile environments - the tropical lowlands. Deforest...
Response to Pashby:Time operators and POVM observables in quantum mechanics
parameter time time operators time observables PVM POVM
2016/6/13
I argue against a general time observable in quantum mechanics except for quantum gravity theory. Then I argue in support of case specific arrival time and dwell time observables with a cautionary not...
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate non-local operator Green function Poisson kernel
2016/1/26
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
On the eigenfunctions of the complex Ornstein-Uhlenbeck operators
eigenfunctions complex Ornstein-Uhlenbeck operators
2016/1/25
Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
On the eigenfunctions of the complex Ornstein-Uhlenbeck operators
eigenfunctions complex Ornstein-Uhlenbeck operators
2016/1/20
Starting from the 1-dimensional complex-valued Ornstein-Uhlenbeck process, we present two natural ways to imply the associated eigenfunctions of the 2-dimensional normal Ornstein-Uhlenbeck operators i...
Efficient implementation of AND, OR and NOT operators for ABCs
Attribute-based credentials Smart Cards
2015/12/21
In the last few years several practitioners have proposed different
strategies for implementing Attribute-based credentials (ABCs) on
smart cards. ABCs allow citizens to prove certain properties abo...
GIAMBELLI, PIERI, AND TABLEAU FORMULAS VIA RAISING OPERATORS
GIAMBELLI PIERI TABLEAU FORMULAS
2015/12/17
We give a direct proof of the equivalence between the Giambelli
and Pieri type formulas for Hall-Littlewood functions using Young’s raising operators, parallel to joint work with Buch and Kresch for ...
Interest Operators in Close-Range Object Reconstruction
Interest Operators Object Reconstruction 3D modelling
2015/12/14
This paper investigates the use of interest operators for feature detection and the generation of high-accuracy object measurement,
modelling, texturing and visualization. Interest operators are requ...