Results 151 to 160 of about 338 (182)

Density theorems for Hausdorff and packing measures of self-similar sets

Aequationes Mathematicae, 2008
We analyze the local behaviour of the Hausdorff measure and the packing measure of self-similar sets. In particular, if K is a self-similar set whose Hausdorff dimension and packing dimension equal s, a special case of our main results says that if K satisfies the Open Set Condition, then there exists a number r 0 such ...
L Olsen
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Comparing Packing Measures to Hausdorff Measures on the Line

Mathematische Nachrichten, 2002
In this paper the author compare packing measures to Hausdorff measures on the line. The main result of this paper is as follows.
De-Jun Feng
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THE MULTIFRACTAL HAUSDORFF AND PACKING MEASURE OF GENERAL SIERPINSKI CARPETS

Acta Mathematica Scientia, 2000
The authors study multifractal Hausdorff and packing measures for a self-affine measure supported by a generalized Sierpiński gasket \(E\) satisfying the disjointness condition.
Jinghu Yu
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The Relations of Hausdorff, *-Hausdorff, and Packing Measures

Real Analysis Exchange, 1990
null Lee, null Baek
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Hausdorff and packing dimensions for ergodic invariant measures of two-dimensional Lorenz transformations. [PDF]

Commentationes Mathematicae Universitatis Carolinae, 2009
Summary: We extend the notions of Hausdorff and packing dimension introducing weights in their definition. These dimensions are computed for ergodic invariant probability measures of two-dimensional Lorenz transformations, which are transformations of the type occuring as first return maps to a certain cross section for the Lorenz differential equation.
Hofbauer, Franz
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Rate of convergence: the packing and centered Hausdorff measures of totally disconnected self-similar sets

Chaos, Solitons and Fractals, 2017
In this paper we obtain the rates of convergence of the algorithms given in [13] and [14] for an automatic computation of the centered Hausdorff and packing measures of a totally disconnected self-similar set.
Manuel Moran
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Hausdorff and Packing Measures

Fractals and Dynamics in Mathematics, Science and the Arts
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Hausdorff and Packing Measures of Compactly Nonrecurrent Regular Elliptic Functions

2023
Janina Kotus
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Hausdorff and packing measure for solenoids

Ergodic Theory and Dynamical Systems, 2003
Summary: We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in \(\mathbb{R}^{2}\)).
Rams, Michał, Simon, Károly
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