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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Ambartzumian combinatorial formula and its applications
Ambartzumian 组合公式 有限线段集
2023/11/6
![](http://www.firstlight.cn/upload/imgfile/20236/5/20236514382739.jpg)
Turning a circle into a square is possible with this kirigami-inspired formula(图)
kirigami 圆形 正方形 几何
2023/6/5
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Gauss-Bonnet formula beyond the aspherical conjecture
超越非球面猜想 Gauss-Bonnet 曲面
2023/4/21
We use the Pieri and Giambelli formulas of [BKT1, BKT3] and
the calculus of raising operators developed in [BKT2, T1] to prove a tableau
formula for the eta polynomials of [BKT3] and the Stanley sym...
A GIAMBELLI FORMULA FOR EVEN ORTHOGONAL GRASSMANNIANS
ORTHOGONAL GRASSMANNIANS GIAMBELLI FORMULA
2015/12/17
Let X be an orthogonal Grassmannian parametrizing isotropic
subspaces in an even dimensional vector space equipped with a nondegenerate
symmetric form. We prove a Giambelli formula which expresses a...
A GIAMBELLI FORMULA FOR ISOTROPIC GRASSMANNIANS
ISOTROPIC GRASSMANNIANS GIAMBELLI FORMULA
2015/12/17
Let X be a symplectic or odd orthogonal Grassmannian. We prove
a Giambelli formula which expresses an arbitrary Schubert class in H∗
(X, Z)
as a polynomial in certain special Schubert classes...
Energy of Harmonic Maps and Gardiner’s Formula
Harmonic maps Teichmuller space measured foliation
2015/12/17
It is shown that the usual first variational formula for the energy of a harmonic map (or equivariant harmonic map) with respect to the conformal structure on a two dimensional domain extends to case ...
In the famous papers [1] and [2], J Cheeger, S Chern and J Simons define characteristic
classes for flat G–bundles. Each such characteristic class is given by a corresponding
universal c...
Hopf bifurcation formula for first order differential-delay equations
Hopf bifurcation Differential delay equation DDE Retarded functional differential equation RFDE
2015/8/27
This work presents an explicit formula for determining the radius of a limit cycle which is born in a Hopf bifurcation in a class of first order constant coefficient differential-delay equations. The ...
ON THE VORONO˘I FORMULA FOR GL(n)
Automorphic forms Voronoi formula L-functions Whittaker functions
2015/8/25
We prove a general Vorono˘ı formula for cuspidal automorphic representations of GL(n) over number fields. This generalizes recent work by Miller-Schmid and Goldfeld-Li on Maass forms. Our me...
Analysis of Belief Propagation for Non-Linear Problems: The Example of CDMA (or: How to Prove Tanaka’s Formula)
Binary signal and white gaussian noise spread sequence scheme of linear time
2015/8/21
We consider the CDMA (code-division multipleaccess) multi-user detection problem for binary signals and additive white gaussian noise. We propose a spreading sequences scheme based on random sparse si...
We suppose that the statistician observes some large number of estimates zi
, each with
its own unobserved expectation parameter i
. The largest few of the zi
's are likely to
substantially over...
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem
Sturm-Liouville eigenvalue applications n-body problem
2015/3/18
Trace formula for the Sturm-Liouville eigenvalue problem with its applications to n-body problem.
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...