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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...
We introduce the Hausdorff measure for definable sets in an o-minimal structure, and prove the Cauchy-Crofton and co-area formulae for the o-minimal Hausdorff measure. We also prove that every defina...
Small loop spaces and covering theory of non-homotopically Hausdorff spaces
Small loop spaces covering theory non-homotopically Hausdorff spaces
2010/11/12
In this paper we devote to spaces that are not homotopically hausdorff and study their covering spaces. We introduce the notion of small covering and prove that every small covering of $X$ is the uni...
研究了比自相似集更广泛的一类分形集——s-集,利用Vitali覆盖定理得到了由Hs-几乎处处闭集覆盖所描述的s-集的Hausdorff测度的一个覆盖性质,进而得到了s-straight s-集的Hausdorff测度一个刻画.
On the computation of the Hausdorff metric between digitised images in three dimensions
fractals Hausdorff metric image comparison
2010/9/14
Efficient and fast solutions to the problem of computing the Hausdorff metric between two arbitrary grey-scale, digitised images are considered. The more efficient of the techniques proposed here cons...
HAUSDORFF DIMENSION OF CUTSET OF COMPLEX VALUED RADEMACHER SERIES
Hausdorff dimension fractals
2007/12/11
Cutsets of series form an important class of fractal sets. In this paper, the author obtains the Hausdoff dimension of outset of complex valued Rademacher serise.
有限型子集的Hausdorff测度
符号空间 0 1-方阵 有限型子集 Hausdor维数与测度
2007/12/10
给出了有限型子集的Hausdorff测度的一个估计,改进了已有的结果.
具阻尼的非线性波动方程整体吸引子的Hausdorff维数、分形维数估计
整体吸引子 Hausdorff维数 分形维数
2007/12/10
本文得到了一类具有线性阻尼且非线性项满足临界增长条件的非线性波动方程整体吸引子的Hausdorff维数、分形维数估计．