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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hausdorff dimension, singular vectors and divergent trajectories
豪斯多夫维数 奇异向量 发散轨迹
2023/5/12
In this talk, I will give a survey of results related to the problem of computing Hausdorff dimension of various dynamically defined sets, such as singular vectors. The aim is to try to describe the l...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Critical Allard regularity in dimension two and its application
二维中临界 阿拉德规律性 欧几里得空间
2023/5/5
The classical Allard regularity says, a rectifiable varifold in the unit ball of the Euclidean space passing through the original point with volume density close to 1 and generalized mean curvature sm...
AN EXPLICIT JACOBIAN OF DIMENSION 3 WITH MAXIMAL GALOIS ACTION
EXPLICIT JACOBIAN DIMENSION 3 MAXIMAL GALOIS ACTION
2015/8/26
We gives an explicit genus 3 curve over Q such that the Galois action on the torsion points of its Jacobian is a large as possible. That such curves exist is a consequence of a theorem of D. Zureick-B...
COUNTING FACES OF RANDOMLY-PROJECTED POLYTOPES WHEN THE PROJECTION RADICALLY LOWERS DIMENSION
RANDOMLY-PROJECTED RADICALLY LOWERS DIMENSION
2015/8/21
The modern trend in statistics and probability is to consider the case where both
the number of dimensions d and the sample size n are large [19, 21]. In that case, the
intuition fostered by the cla...
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
A mass-decreasing flow in dimension three
mass-decreasing flow dimension three Differential Geometry
2011/9/13
Abstract: In this article, we introduce a mass-decreasing flow for asymptotically flat three-manifolds with nonnegative scalar curvature. This flow is defined by iterating a suitable Ricci flow with s...
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds with Nonstandard Topology which Admit Dimensional Reduction to Any Lower Dimension and Transformation of the Klein-Gordon Equation to the $\mathbf{1}$-Dim Schrödinger Like Equation
Riemannian $\mathbf{(1+d)}$-Dim Space-Time Manifolds Nonstandard Topology Any Lower Dimension Transformation of the Klein-Gordon Equation $\mathbf{1}$-Dim Schrö dinger Like Equation
2011/2/21
This rather technical paper presents some generalization of the results of recent publications [1–3]where toy models of dimensional reduction of space-time were considered.
Parity balance of the $i$-th dimension edges in Hamiltonian cycles of the hypercube
Hypercube Hamiltonian cycles i-th dimension edges equi-independence number
2010/12/8
Let n 2 be an integer, and let i 2 f0; : : : ; n 1g. An i-th dimension edge in the n-dimensional hypercube Qn is an edge v1v2 such that v1; v2 di er just at their i-th entries. The parity...
Geometric renormalisation and Hausdorff dimension for loop-approximable geodesics escaping to infinity
Kleinian groups Poincar´ e exponent fractal geometry dissipative dy-namics
2010/11/29
The main result of this paper is to show that if N is a normal subgroup of a Kleinian group G such that G/N contains a coset which is represented by some loxodromic element, then the Hausdorff dimensi...
期刊信息
篇名
An invariant of link homotopy in dimension four
语种
英文
撰写或编译
撰写
作者
李贵松
第一作者单位
中国科学院系统科学研究所
刊物名称
Topology
页面
vol.36, pp.881-897
出版日期
1997年
月
日
文章标识(ISSN)
0040-9383
相关项目
代数拓扑与微分拓扑
On the Dimension of an Arbitrary Ascending Chain
On the Dimension an Arbitrary Ascending Chain
2013/9/9
We show that the length of an arbitrary ascending chain has geometric meaning and hence describes certain natural properties for the ascending chain. The results
proved in this paper can be used to e...