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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersion Analysis of CIP–FEM for Helmholtz Equation
亥姆霍兹方程 CIP-FEM 色散分析
2023/4/24
When solving the Helmholtz equation numerically, the accuracy of numerical solution deteriorates as the wave number k increases, known as `pollution effect' which is directly related to the phase diff...
Approximate analysis of search algorithms with “physical” methods
Statistical physics analysis of algorithms stochastic input the physical concept
2015/8/20
An overview of some methods of statistical physics applied to the analysis of algorithms for optimization problems (satisfiability of Boolean constraints, vertex cover of graphs, decoding, ...) with d...
2-LOOP ANALYSIS OF VECTOR-CURRENT PROPAGATORS IN CHIRAL PERTURBATION-THEORY
Isospin hypercharged vector breeding experts chiral perturbation theory
2014/12/23
We perform a calculation of the isospin and hypercharge vector-current propagators (ΔV33μν(q2) and ΔV88μν(q2)) to two loops in chiral perturbation theory. The analysis is carried out with straight-for...
Two-loop analysis of axial vector current propagators in chiral perturbation theory
Isospin axial vector hypercharged breeding chiral perturbation theory meson hypercharged axial vector polarization
2014/12/22
We perform a calculation of the isospin and hypercharge axial vector current propagators [ΔA3μν(q) and ΔA8μν(q)] to two loops in SU(3)×SU(3) chiral perturbation theory. A large number of O(p6) diverge...
Analysis of O(p2) corrections to 〈ππ|Q7,8|K〉
K matrix element electroweak penguin operators K amplitude chiral measurement
2014/12/22
The one-loop corrections to K→π and K→2π matrix elements of the electroweak penguin operator are calculated. General next-to-leading order relations between the K→π and K→2π amplitudes are obtained. T...
We extend in several respects our earlier work on O(p2) corrections to the matrix elements of the electroweak penguin operator Oewp. First, to facilitate comparison with certain lattice studies we cal...
Short-distance analysis of D-0-D-0 mixing
The standard model the quality of the neutral meson amplitude spiral
2014/12/20
We study the Standard Model short-distance prediction for the mass and lifetime differences between the two neutral D meson mass eigenstates. We find that, despite αs/4π suppression, next-to-leading o...
Texture Analysis And Characterization Using Probability Fractal Descriptors
Pattern Recognition Fractal Dimension Fractal Descriptors
2012/5/31
A gray-level image texture descriptors based on fractal dimension estimation is proposed in this work. The proposed method estimates the fractal dimension using probability (Voss) method. The descript...
Extended Kramers-Moyal analysis applied to optical trapping
Extended Kramers-Moyal analysis optical trapping Data Analysis
2012/5/29
The Kramers-Moyal analysis is a well established approach to analyze stochastic time series from complex systems. If the sampling interval of a measured time series is too low, systematic errors occur...
A spatio-temporal Gaussian-Conical wavelet with high aperture selectivity for motion and speed analysis
Extraction of motion parameters speed tuning continuous wavelet transform directional and conical wavelets
2012/5/25
The construction of a spatio-temporal wavelet and its tuning to speed was first realized in the 90s on the Morlet wavelet by M. Duval-Destin \cite{Duval-Destin91a,Duval-Destin92}. This enabled to demo...
Structural Analysis of Laplacian Spectral Properties with Application to Electric Transmission Networks
Laplacian Spectral Properties Electric Transmission Networks Optimization and Control
2011/8/18
Abstract: The spectrum of the Laplacian matrix of a network plays a key role in a wide range of dynamical problems associated with the network, from transient stability analysis of power networks to d...
Dimension of the moduli space and Hamiltonian analysis of BF field theories
Index theorem moduli space Hamiltonian dynamics
2011/9/22
Abstract: By using the Atiyah-Singer theorem through some similarities with the instanton and the anti-instanton moduli spaces, the dimension of the moduli space for two and four-dimensional BF theori...
Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. Application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks
Bloch-Floquet waves boundary layer crack imperfect interface weight function
2011/9/22
Abstract: We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asymptotic algori...
Empirical analysis of collective human behavior for extraordinary events in blogosphere
Empirical analysis collective human behavior extraordinary events blogosphere
2011/8/11
Abstract: To explain collective human behavior in blogosphere, we survey more than 1.8 billion entries and observe statistical properties of word appearance. We first estimate the basic properties of ...
A pure Dirac's canonical analysis for four-dimensional BF theories
pure Dirac's canonical analysis four-dimensional BF theories Mathematical Physics
2011/9/19
Abstract: We perform Dirac's canonical analysis for a four-dimensional $BF$ and for a generalized four-dimensional $BF$ theory depending on a connection valued in the Lie algebra of SO(3,1). This anal...