Results 231 to 240 of about 9,340 (278)

Hausdorff measures on the Wiener space

Potential Analysis, 1992
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Feyel, D., de La Pradelle, A.
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Hausdorff measure and linear forms.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1997
It is shown that given any dimension function \(f\), the Hausdorff measure \({\mathcal H}^f\) of the set of well approximable linear forms \(W(m,n; \psi)\) is zero or infinity depending on whether a certain volume sum converges or diverges. This is a Hausdorff measure analogue of the classical Khintchine-Groshev theorem where the \(mn\)-dimensional ...
Dickinson, Detta, Velani, Sanju L.
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Hausdorff measure of Sierpinski gasket

Science in China Series A: Mathematics, 1997
The author gives a new estimate on the upper bound of the Hausdorff measure of the Sierpiński gasket \(S: H^s(S)\leq{25\over 22}\left({6\over 7}\right)^s\), where \(s= \log_23\) is the Hausdorff dimension of \(S\). The result improves the previous estimates obtained by the author [Proc. Nat. Sci. (English Ed.) 7, No.
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HAUSDORFF DIMENSION AND HAUSDORFF MEASURES OF JULIA SETS OF ELLIPTIC FUNCTIONS

Bulletin of the London Mathematical Society, 2003
Let \(f: \mathbb{C}\to\overline{\mathbb{C}}\) be an elliptic function and \(q\) be the maximal multiplicity of all poles of \(f\). The authors prove that the Hausdorff dimension of the Julia set of \(f\) is greater than \({2q\over q+1}\), and the Hausdorff dimension of the set of points escaping to infinity is less than or equal to \({2q\over q+1 ...
Kotus, Janina, Urbański, Mariusz
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A Characteristic Property of Hausdorff Measure

Journal of the London Mathematical Society, 1950
Man bezeichne mit \(h(x)\) eine für \(x\ge 0\) definierte, stetige, streng wachsende Funktion mit \(h(0) = 0\) und \(\displaystyle\varliminf_{x\to +0} h(\alpha x)/h(x) > 0\) \((0 < \alpha < 1)\). Ist ein separabler, metrischer Raum \(X\) gegeben, so definiert man für \(E\subset X\) \(\text{h. m. }E = \displaystyle\lim_{\delta\to 0} \Lambda_h(E, \delta)\
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Hausdorff Measure and Local Measure

Journal of the London Mathematical Society, 1982
Johnson, Roy A., Rogers, C. A.
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Singular measures and Hausdorff measures

Israel Journal of Mathematics, 1969
An example is given of a family of singular probability measures on the unit interval which are supported on a set of fractional Hausdorff dimension but cannot be represented as Hausdorff measures.
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\(\Gamma\) convergence of Hausdorff measures

2005
Starting from the Golab Theorem, which states that in a metric space \((Q,d)\) the Hausdorff measure \({\mathcal H}^1_d\), when restricted to the class of the compact connected subsets of \(Q\), is lower semicontinuous for the Hausdorff distance between sets, it is shown that actually a more general result holds for the \(\Gamma\)-convergence of ...
BUTTAZZO, GIUSEPPE, B. SCHWEIZER
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The Hausdorff measure of non hyperconvexity

1999
A metric space \(X\) is said to be hyperconvex if for every metric space \(Y\) every nonexpansive map from a subset \(S\subseteq Y\) to \(X\) can be extended to a nonexpansive map from \(Y\) to \(X\). A function \(f\in C(X)\) on a metric space \((X,d)\) is called a metric form if for all \(x,y\in X\), \(f(x)+ f(y)\geq d(x,y)\).
CIANCIARUSO, Filomena, DE PASCALE
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Between shapes, using the Hausdorff distance

Computational Geometry: Theory and Applications, 2022
Marc Van Kreveld, Tillmann Miltzow, Tim Ophelders   +2 more
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