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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Classical and adelic Eisenstein series
古典 阿德利 爱森斯坦系列 经典函数
2023/5/6
In this talk, we discuss “Hecke summation” for the classical Eisenstein series E_k in an adelic setting. The connection between classical and adelic functions is made by explicit calculations of local...
中山大学岭南学院高级计量经济学课件（I）CH4 Large Sample Distribution Theory and Large Sample Properties of the Classical Regression Model
中山大学岭南学院 高级计量经济学 课件（I） CH4 Large Sample Distribution Theory and Large Sample Properties of the Classical Regression Model
2017/6/14
中山大学岭南学院高级计量经济学课件（I）CH4 Large Sample Distribution Theory and Large Sample Properties of the Classical Regression Model。
中山大学岭南学院高级计量经济学课件（I）CH1 The Classical Multiple Regression Model
中山大学岭南学院 高级计量经济学 课件（I） CH1 The Classical Multiple Regression Model
2017/6/14
中山大学岭南学院高级计量经济学课件（I）CH1 The Classical Multiple Regression Model。
GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES
LOCUS FORMULAS GIAMBELLI
2015/12/17
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and X = G/P the corresponding homogeneous space, which parametrizes
(isotropic) partial flags of subspaces of a fix...
DOUBLE SCHUBERT POLYNOMIALS AND DEGENERACY LOCI FOR THE CLASSICAL GROUPS
DOUBLE SCHUBERT POLYNOMIALS DEGENERACY LOCI
2015/12/17
We propose a theory of double Schubert polynomials Pw(X;Y )
for the Lie types B, C, D which naturally extends the family of Lascoux and
Schutzen Ä berger in type A. These polynomials satisfy po...
EMBEDDINGS OF SOME CLASSICAL BANACH SPACES INTO MODULATION SPACES
Besov space modulation space Sobolev space short-time Fourier transform Triebel-Lizorkin space time-frequency analysis
2015/12/10
We give sufficient conditions for a tempered distribution to belong to certain modulation spaces by showing embeddings of some Besov-TriebelLizorkin spaces into modulation spaces. As aconsequence we h...
Neo-Classical Minimax Problems, Thresholding, and Adaptation
Minimax Estimation Adaptive Estimation
2015/8/20
We study the problem of estimating from data Y N(; 2
) under squared-error loss.
We de ne three new scalar minimax problems in which the risk is weighted by the size of .
Simple thresholding...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
Closed-loop convex formulation of classical and singular value loop shaping
Singular value circulation formation control dynamic systems digital technology application control system design
2015/8/12
We show that control system design via classical loop shaping and singular value loop shaping can be formulated as a closed-loop convex problem. Consequently, loop shaping problems can be solved by ef...
In this paper, the quantum logical ‘or’ is analyzed from a physical perspective.
We show that it is the existence of EPR-like correlation states for the quantum
mechanical entity under consideration...
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics
Establish theory data analysis the classical statistics magical thinking
2015/7/14
Theorise of Data Analysis:From Magical Thinking Through Classical Statistics。
Closed Form Summation for Classical Distributions: Variations on Theme of De Moivre
Binomial distribution Stirling's formula his- tory of probability Pearson curves Stein's identity mean absolute deviation.
2015/7/14
De Moivre gave a simple closed form expression for the mean
absolute deviation of the binomial distribution. Later authors showed
that similar closed form expressions hold for many of the other cl...
On the semi-classical limit for the focusing nonlinear Schrodinger equation: sensitivity to analytic properties of the initial data
focusing nonlinear Schrodinger equation semiclassical limit non-analyticity
2015/3/19
We present the results of a large number of careful numerical experiments carried out to investigate the way that the solution of the integrable focusing nonlinear Schrodinger equation with - xed ini...
D-bar and Dirac Type Operators on Classical and Quantum Domains
Dirac Operators Noncommutative Geometry
2015/1/19
I study d-bar and Dirac operators on classical and quantum domains subject to the APS boundary conditions, APS like boundary conditions, and other types of global boundary conditions. Moreover, the in...
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and G/P the corresponding partial flag variety. We prove an explicit
combinatorial Giambelli formula which expresses an a...