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搜索结果: 1-15 共查到数学 Hausdorff相关记录40条 . 查询时间(0.179 秒)
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...
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...
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...
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.
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...
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...
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...
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...
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...
Abstract: We provide an algorithm for computing the centered Hausdorff measure of self-similar sets satisfying the strong separation condition. We prove the convergence of the algorithm and test its u...
证明二阶随机Cahn-Hilliard方程解的存在唯一性,获得了此方程随机吸引子的存在性以及有限维的Hausdorff维数.

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