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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach: Part I continuous case
KP-户田约简法 NLS类型 方程孤子解 统一方法 离散情况
2023/4/27
In these two talks, I will present a unified method to construct soliton solutions to NLS type equations by the KP-Toda reduction approach. I will take the NLS equation as a typical example and show h...
Continuous Curvelet Transform: II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator
2015/8/21
We develop a unifying perspective on several decompositions exhibiting directional parabolic
scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales,
with e&...
Cycle symmetries and circulation fluctuations for discrete-time and continuous-time Markov chains
Haldane equality current fluctuations fluctuation theorems
2014/12/5
In probability theory, equalities are much less than inequalities. In this paper, we find a series
of equalities which characterize the symmetry of the forming times of a family of similar cycles
fo...
Charge conjugation from space-time inversion in QED: discrete and continuous groups
CPT groups space-time inversion Lorentz and Poincar´ e groups
2010/11/29
We show that the CPT groups of QED emerge naturally from the PT and P (or T )subgroups of the Lorentz group. We also find relationships between these discrete groups and continuous groups, like the co...