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A new type of cold spray coating, made from the metal tantalum and applied to the plasma-facing steel walls of fusion reactors, could lead to efficient, compact fusion reactors that are easy to repair...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Prescribing sigma-2 curvature and boundary mean curvature on compact manifolds
紧致流形 sigma-2曲率 边界平均曲率
2023/11/15
On a smooth compact manifold of dimensions three and four with totally non-umbilic boundary，imposing non-negativity assumptions on curvatures of the background metric, we establish that there exists a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets II
无限维 凸紧集 混合体积
2023/11/6
Using the results presented in the previous lecture, namely the generalization of the Tsirelson's theorem [2] to mixed volumes, we calculate the mixed volume of the closed convex hulls of the two orth...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed volume of infinite-dimensional convex compact sets I
无限维 凸紧集 混合体积
2023/11/6
Let K be a convex compact subset of a separable Hilbert space H. One of the most important geometric characteristics of K is its intrinsic volumes. In the finitedimensionalcase (K ? R^d), the intrinsi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kazdan-Warner equations on compact Riemann surfaces
紧黎曼曲面 卡兹丹-华纳方程 数学
2023/4/28
In this talk, we shall review firstly the study history of Kazdan-Warner equations on compact Riemann surfaces, which was proposed by Kazdan and Warner on Annals of Math on 1974. Then we shall show th...
CERN and INFN have developed a compact, transportable accelerator for the non-destructive analysis of historical artifacts and artworks, providing a cheaper, more accessible method of analysing large ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity of non-compact static domains in hyperbolic space via positive mass theorems
正质量定理 双曲空间 非紧致 静域刚性
2023/4/14
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
近年来，量子计算机技术发展迅速，它对传统公钥密码算法的安全性带来了潜在的巨大威胁。因此，美国、中国、欧盟等世界主要国家和地区纷纷开始研制抗量子计算机攻击的密码算法。其中，美国国家标准与技术研究院（National Institute of Standards and Technology，NIST）于2016年面向全球征集抗量子密码算法标准，并于2017年底完成了首轮候选算法的征集工作。
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds
deformation theory fundamental groups compact hyperbolic 3-manifolds
2015/10/14
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds.
Isometric actions of Heisenberg groups on compact Lorentz manifolds
Heisenberg groupsl Lorentz manifolds
2015/10/14
We prove results toward classifying compact Lorentz manifolds on
which Heisenberg groups act isometrically. We give a general construction,
leading to a new example, of codimension-one actions—those...
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical,
real-analytic, complete Lorentz manifold such that the isometry grou...
Compact Central WENO Schemes for MultiDimensional Conservation Laws
hyperbolic systems central difference schemes high-order accuracy nonoscillatory schemes WENO reconstruction CWENO reconstruction
2015/10/8
We present a new third-order central scheme for approximating solutions of systems of conservation laws in one and two space dimensions. In the spirit of Godunov-type schemes, our method is based on r...
ON MIXING PROPERTIES OF COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
GROUP EXTENSIONS HYPERBOLIC SYSTEMS
2015/9/29
We study compact group extensions of hyperbolic diffeomorphisms. We relate mixing properties of such extensions with
accessibility properties of their stable and unstable laminations.
We show that g...
EVERY COMPACT MANIFOLD CARRIES A COMPLETELY HYPERBOLIC DIFFEOMORPHISM
MANIFOLD CARRIES HYPERBOLIC DIFFEOMORPHISM
2015/9/29
We show that a smooth compact Riemannian manifold of dimension 2 admits
a Bernoulli di eomorphism with nonzero Lyapunov exponents.
LIVSIC^ THEORY FOR COMPACT GROUP EXTENSIONS OF HYPERBOLIC SYSTEMS
theory of tight group of hyperbolic system dynamics
2015/9/29
Recently several new phenomena in dynamics were discovered by
looking at small perturbations of compact group extensions of hypebolic systems [8, 14]. In view of this it is desirable to develop a gen...