搜索结果: 1-15 共查到“数学 N dimensions”相关记录84条 . 查询时间(0.217 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hard Lefschetz properties, complete intersections and numerical dimensions
莱夫谢茨数 性质 完整交集 数值尺寸
2023/4/19
In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Lines on holomorphic contact manifolds and a generalization of (2,3,5)-distributions to higher dimensions
全纯接触流形 线和 （2，3，5） 高维度推广
2023/4/19
Since the celebrated work by Cartan, distributions with small growth vector (2,3,5) have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic (2,...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the subadditivity of generalized Kodaira dimensions (Part II)
广义 小平维度 次相加性 代数纤维空间
2023/5/4
In these series of talks, we will focus on the study of the Iitaka conjecture, which predicts the subadditivity of Kodaira dimensions for any algebraic fiber space. In the first part, we recall some b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mixed-norm of orthogonal projections and analytic interpolation on dimensions of measures
正交投影 混合范数 度量维度 分析插值
2023/5/5
We obtain new mixed-norm estimates and geometric results on projections. In the proof we introduce a new quantity called s-amplitude, and interpolate analytically not only on p,q, but also on dimensio...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the subadditivity of generalized Kodaira dimensions (Part I)
广义 小平维度 子加性
2023/5/5
In these series of talks, we will focus on the study of the Iitaka conjecture, which predicts the subadditivity of Kodaira dimensions for any algebraic fiber space. In the first part, we recall some b...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bilinear approaches in soliton theory II: N-soliton solutions in (2+1)-dimensions
孤子理论 双线性方法 （2+1）维 N-孤子解
2023/5/6
The talk is about applications of bilinear approaches to N-soliton solutions in (2+1)-dimensions. The Hirota N-soliton condition will be analyzed, together with novel examples of (2+1)-dimensional sol...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bilinear approaches in soliton theory I: Hirota direct method and its applications in (1+1)-dimensions
孤子理论 双线性方法 广田直接法 （1+1）维
2023/5/6
We will talk about the Hirota direct method and its applications to soliton solutions in (1+1)-dimensions. Both known and new examples of soliton equations will be discussed, and generalized bilinear ...
三亚国际数学论坛：Superconformal Field Theories in 6 and Lower Dimensions
三亚国际数学论坛 Superconformal Field Theories in 6 Lower Dimensions
2017/11/24
Conformal field theories represent a very active research field worldwide with many international experts working on various aspects of the topic. Progress during the past several years has led to man...
KINETIC HIERARCHIES AND MACROSCOPIC LIMITS FOR CRYSTALLINE STEPS IN 1+1 DIMENSIONS
kinetic theory epitaxial growth crystal surface Burton–Cabrera–Frank model particle system Bogoliubov–Born–Green–Kirkwood–Yvon hierarchy closure evaporation-condensation surface diffusion correlation function step chemical potential macroscopic limit propagation of chaos
2015/10/16
We apply methods of kinetic theory to study the passage from particle systems to nonlinear partial differential equations (PDEs) in the context of deterministic crystal surface relaxation. Starting wi...
CONNECTION OF KINETIC MONTE CARLO MODEL FOR SURFACES TO ONE-STEP FLOW THEORY IN 1+1 DIMENSIONS
kinetic Monte Carlo Burton–Cabrera–Frank theory low-density approximation near-equilibrium condition master equation maximum principle
2015/10/16
The Burton–Cabrera–Frank (BCF) theory of step flow has been recognized as a valuable tool for describing nanoscale evolution of crystal surfaces. We formally derive a single-step BCF-type model from a...
Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions
step flow atomistic scheme epitaxial growth 1+1 dimensions
2015/10/16
The Burton-Cabrera-Frank (BCF) model for the flow of line defects (steps) on crystal surfaces has offered useful insights into nanostructure evolution. This model has rested on phenomenological ground...
Neighborliness of Randomly-Projected Simplices in High Dimensions
Neighborly Polytopes Convex Hull of Gaussian Sample
2015/8/21
Let A be a d by n matrix, d < n. Let T = T
n−1 be the standard regular simplex in R
n
.
We count the faces of the projected simplex AT in the case where the projection is random,
the dimens...
Some standard numerical problems become intractable in high dimensions.
Yet successes are often achieved in practice. This may be explained in terms
of the underlying target function being somehow s...
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d ≥ 3. We show that A(t) is approximately spherical, up to an O(√log t) erro...
A kernel-independent adaptive fast multipole algorithm in two and three dimensions
Fast multipole methods Fast solvers Integral equations Single-layer potential Double-layer potential Particle methods N-body problems
2015/7/14
We present a new fast multipole method for particle simulations. The main feature of our algorithm is that it does not require the implementation of multipole expansions of the underlying kernel, and ...