Results 171 to 180 of about 338 (182)

Exact Hausdorff and packing measures of Cantor sets with overlaps

Ergodic Theory and Dynamical Systems, 2014
Let $K$ be the attractor of a linear iterated function system (IFS) $S_{j}(x)={\it\rho}_{j}x+b_{j},j=1,\ldots ,m$, on the real line $\mathbb{R}$ satisfying the generalized finite type condition (whose invariant open set ${\mathcal{O}}$ is an interval) with an irreducible weighted incidence matrix. This condition was recently introduced by Lau and Ngai [
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Frostman lemmas for Hausdorff measure and packing measure in a product probability space and their physical application

Chaos, Solitons & Fractals, 2005
The authors establish Frostman-type lemmas for the Hausdorff and pre-packing measures on a product probability measure space \((\Omega, {\mathcal F}, \mu) = (\Omega_1\times \Omega_2, {\mathcal F}_1\times {\mathcal F}_2, \mu_1\times\mu_2)\). Based on these results, they prove a sufficient condition for the Hausdorff and packing dimensions with respect ...
Dai, Chaoshou, Hou, Yanyan
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The branching measure, Hausdorff and packing measures on the Galton-Watson tree

2000
We present some recent results concerning the branching measure, the exact Husdorff measure and the exact packing measure, defined on the boundary of the Caalton-Watson tree. The results show that in good cases, these three measures coincide each other up to a constant, that the branching measure is homogeneous (it has the same local dimension at each ...
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Hausdorff and packing dimensions, intersection measures, and similarities

1999
Let \(\mu\) and \(\nu\) be Radon measures on \(\mathbb R^n\) with compact supports. We study the Hausdorff, \(\dim_H\), and packing dimension, \(\dim_p\), properties of the intersection measures \(\mu\cap f_\sharp\nu\) when \(f\) runs through the similarities of \(\mathbb R^n\) and \(f_\sharp\nu\) is the image of \(\nu\) under \(f\). These measures can
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Regularities of general Hausdorff and packing functions

Chaos, Solitons and Fractals, 2019
Zied Douzi, Bilel Selmi
exaly  

Parabolic Systems: Hausdorff and Packing Measures

2003
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Density theorems for Hausdorff and packing measures

1995
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Computability of the Hausdorff and packing measures on self-similar sets and the self-similar tiling principle

Nonlinearity, 2005
Manuel Moran
exaly  

"A Lower Bound for the Packing Measure which is a Multiple of the Hausdorff Measure"

Real Analysis Exchange, 1989
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Upper and Lower Bounds for the Packing Measure in Relation to the Hausdorff Measure

Real Analysis Exchange, 1990
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