搜索结果: 1-15 共查到“理学 Hausdorff”相关记录45条 . 查询时间(0.053 秒)
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...
作为经典~Hardy~算子及~Ces$\rm\grave{a}$ro~算子的推广, Hausdorff~算子在调和分析中起着重要作用, 因此讨论此类算子在各种函数空间上的有界性意义重大. 文章研究了一类~Hausdorff~算子在~Lebesgue~空间上的有界性, 并且计算出了该算子在这类空间上有界的最佳常数. 此外, 文章还得到了一类多线性~Hausdorff~算子在~Lebesgue~空间上...
We consider the evolution of a connected set in Euclidean space
carried by a periodic incompressible stochastic
ow. While for almost every
realization of the random
ow at time t most of the part...
An Example of a Nearly Integrable Hamiltonian System with a Trajectory Dense in a Set of Maximal Hausdorff Dimension
Nearly Integrable Hamiltonian System Trajectory Dense Maximal Hausdorff Dimension
2015/9/25
The famous ergodic hypothesis suggests that for a typical Hamiltonian on a typical energy surface nearly all trajectories are dense. KAM theory disproves it.Ehrenfest (The Conceptual Foundations of th...
On Hausdorff dimension of oscillatory motions in three body problems
Hausdorff dimension oscillatory motions three body problems
2015/9/25
We show that for the Sitnikov example and for the restricted planar circular 3–body problem the set of oscillatory motions often has maximal Hausdorff dimension. Also, we construct Newhouse domains fo...
Comment on “Hausdorff Dimension of Critical Fluctuations in Abelian Gauge Theories”
Comments letter reply
2014/12/20
A Comment on the Letter by J. Hove, S. Mo, and A. Sudbø Phys. Rev. Lett. 85, 2368 (2000). The authors of the Letter offer a Reply.
重力匹配算法是实现重力辅助惯性导航系统的关键技术之一。但是，传统重力匹配方法存在复杂度高、应用范围小等缺陷，一般很难实现精确、快速匹配的效果。本文将人工蜂群算法用于重力匹配的搜索过程，并将多普勒测速仪提供的速度信息作为限制条件对蜂群搜索过程进行约束。在此基础上，利用平均Hausdorff距离对匹配结果进行筛选，在重力数据库中重力异常精度一定的条件下，可降低误配率。仿真结果表明，该匹配算法在重力特征...
由Dvoretzky随机覆盖引起的集合的Hausdorff维数
随机覆盖 Gibbs测度 局部维数 首中时
2014/5/5
考虑了单位圆T=R/Z上的随机区间In(ω)=ωn+(-ln/2,ln/2),(mod 1),其中{ln}n≥1为一列单调下降并趋于0的正实数,{ωn}n≥1为T上的一列独立同分布且具有Gibbs分布测度的随机变量. 借助于重分形分析中的工具,估计了被随机区间序列{In(ω)}有限次覆盖以及无穷多次覆盖的集合的Hausdorff维数.
究了几种不同类型的Hausdorff算子在Campanato空间的有界性,并且得到了这些算子在Campanato空间上有界的最佳常数. 此外,还讨论了多线性Hausdorff算子在Morrey空间中的有界性.
Measures of the full Hausdorff dimension for a general Sierpinski carpet
Sofic measure Sierpinski carpet matrix-valued potential Gibbs measure a-weighted thermodynamic formalism
2012/6/21
The measure of the full dimension for a general Sierpi\'{n}ski carpet is studied. In the first part of this study, we give a criterion for the measure of the full Hausdorff dimension of a Sierpi\'{n}s...
The conformal loop ensemble CLE_kappa is the canonical conformally invariant probability measure on non-crossing loops in a proper simply connected domain in the complex plane. The parameter kappa var...
Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates
Removable singularity divergence Hausdorff measure Hausdorff content Radon measure Frostman’s lemma charges strong charges
2012/6/19
We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence o...
From almost sure local regularity to almost sure Hausdorff dimension for Gaussian fields
Gaussian processes Hausdorff dimension (multi)fractional Brownian motion multiparameter processes Holder regularity stationarity
2012/6/19
Fine regularity of stochastic processes is usually measured in a local way by local H\"older exponents and in a global way by fractal dimensions. Following a previous work of Adler, we connect these t...
Exponential growth of norms in semigroups of linear automorphisms and Hausdorff dimension of self-projective IFS
Exponential growth of norms semigroups of linear automorphisms Hausdorff dimension self-projective IFS Dynamical Systems
2012/4/17
Given a finitely generated semigroup S of the (normed) set of linear maps of a vector space V into itself, we find sufficient conditions for the exponential growth of the number N(k) of elements of th...
Growth rates, Hausdorff measure and stability for the p-obstacle problem(3/2≤p≤2)
growth rate Hausdorff measure obstacle problem stability
2011/10/17
In this paper, we consider the free boundary for the inho-mogeneous obstacle problem with zero obstacle. We firstly establish the growth rates for the solution u(x) and the gradient of u(x), awa...