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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Finite-time singularity formations for the Landau-Lifshitz-Gilbert equation in dimension two
Landau–Lifshitz–Gilbert 二维 有限时间 奇点形成
2023/4/19
Landau-Lifshitz-Gilbert equation (LLG) describes magnetization of ferromagnets. In this paper, we consider the singularity formation of LLG from R^2 to S^2. For any prescribed N distinct points q^{j} ...
ANALYSIS ON COMPACT LIE GROUPS OF LARGE DIMENSION AND ON CONNECTED COMPACT GROUPS
LIE GROUPS LARGE DIMENSION
2015/8/26
The study of Gaussian convolution semigroups is a subject at the cross-
road between abstract and concrete problems in harmonic analysis. This article suggests
selected open problems that are in lar...
Dimension-eight operators in the weak OPE
Weak amplitude attenuation amplitude weak Hamiltonian separation
2014/12/22
We argue that there is a potential flaw in the standard treatment of weak decay amplitudes, including that of ǫ′/ǫ. We show that (contrary to conventional wisdom) dimension-eight operators d...
The influence of dimension eight operators on weak matrix elements
Mu dimension calculation matrix elements scale dimensional regularization
2014/12/22
I describe recent work with V. Cirigliano and E. Golowich on the effect of dimension eight operators on weak nonleptonic amplitudes. The basic mesage is that there is an inconsistency in the way that ...
New insights concerning dimension eight effects in weak decays
Nonleptonic decay weak hybrid d matrix elements of dimension
2014/12/22
Most past work on weak nonleptonic decays has mixed dimensional regularization in the weak operator product expansion with some form of a cutoff regularization in the evaluation of the matrix elements...
Comment on “Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories”
Comments letter reply
2014/12/20
A Comment on the Letter by J. Hove, S. Mo, and A. Sudbø Phys. Rev. Lett. 85, 2368 (2000). The authors of the Letter offer a Reply.
Ghost Force Influence of A Qusicontinuum Method in Two Dimension
Ghost Force Influence A Qusicontinuum Method Two Dimension
2012/8/7
The error caused by the ghost force is studied for a quasicontinuum method with planar interface in two dimension. For a special case, we derive an analytical expression of the error, which is exploit...
Convergence of a Force-Based Hybrid Method in Three Dimension
Convergence a Force-Based Hybrid Method Three Dimension
2012/8/7
We study a force-based hybrid method that couples atomistic model with Cauchy-Born elasticity model. We show the proposed scheme converges to the solution of the atomistic model with second order accu...
Optimal box-covering algorithm for fractal dimension of complex networks
Optimal box-covering algorithm fractal dimension complex networks Computational Physics
2012/4/24
The self-similarity of complex networks is typically investigated through computational algorithms the primary task of which is to cover the structure with a minimal number of boxes. Here we introduce...
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...
4D Lorentzian conformal field theory (CFT) is mapped into 5D anti-de Sitter spacetime (AdS), from the viewpoint of "geometrizing" conformal current algebra. A large-N expansion of the CFT is shown to ...
Resonances for "large" ergodic systems in one dimension: a review
Resonances random operators periodic operators
2011/8/24
安徽理工大学共建数据
Abstract: The present note reviews recent results on resonances for one-dimensional quantum ergodic systems constrained to a large box. We restrict ourselves to one dimensional models in the discrete ...
Projectively Equivariant Quantization and Symbol calculus in dimension 1|2
Equivariant Quantization Symbol calculus dimension 1|2 Differential Geometry
2011/7/26
Abstract: The spaces of higher-order differential operators (in Dimension 1|2), which are modules over the stringy Lie superalgebra K(2), are isomorphic to the corresponding spaces of symbols as ortho...
Fractal dimension evolution and spatial replacement dynamics of urban growth
bifurcation chaos fractal dimension Boltzmann’s equation logistical map spatial replacement nonlinear dynamics urban form urban growth
2011/8/29
This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain ...
Hausdorff dimension of visibility sets for well-behaved continuum percolation in the hyperbolic plane
Boolean model continuum percolation fractal geometry Hausdorff-dimension hyperbolic geometry
2011/7/27
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...