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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Bernstein Theorem of Affine Maximal Hypersurface
仿射 极大超曲面 伯恩斯坦定理
2023/4/13
Bernstein problem for affine maximal type hypersurfaces has been a core problem in affine geometry. A conjecture proposed firstly by Chern (Proc. Japan-United States Sem., Tokyo, 1977, 17-30) for enti...
An affine walk on the hypercube
Markov chain uniform distribution cutoff phenomena Fourier analysis code
2015/7/14
Diaconis, P. and R. Graham, An affine walk on the hypercube, Journal of Computational and Applied
Mathematics 41 (1992) 215-235. Let Z$ be the group of binary d-tuples. We study the process X,, = AX...
Koszul duality of affine Kac-Moody algebras and cyclotomic rational DAHA
Koszul duality affine Kac-Moody algebras cyclotomic rational DAHA
2011/8/22
Abstract: We give a proof of the parabolic/singular Koszul duality for the category O of affine Kac-Moody algebras. The main new tool is a relation between moment graphs and finite codimensional affin...
Let $\pi, \pi'$ be tempered representations of an affine Hecke algebra with positive parameters. We study their Euler--Poincar\'e pairing $EP (\pi,\pi')$, the alternating sum of the dimensions of the...
Variable Order Mixed H-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry. Ii. Affine and Curvilinear Elements in 2D
Variable Mixed H-Finite Element Method
2010/11/9
We continue our study on variable order Arnold-Falk-Winther elements for 2D elasticity in context of both affine and parametric curvilinear elements. We present an $h$-stability result for affine ele...
Dual Baxter equations and quantization of Affine Jacobian
Dual Baxter equations quantization Affine Jacobian
2010/11/2
A quantum integrable model is considered which describes a quantization of affine hyper-elliptic Jacobian. This model is shown to possess the property of duality: a dual model with inverse Planck cons...