Results 221 to 230 of about 18,960 (248)

Packing dimensions of projections and dimension profiles

Mathematical Proceedings of the Cambridge Philosophical Society, 1997
Let \(E\subset\mathbb{R}^n\) be an analytic set and \(\mu\in{\mathfrak M}^+_c(E)\) a finite Borel measure on \(E\) with compact support. For a real number \(s\) with \(0\leq s\leq n\) put \[ F^\mu_s(x,r)= \int_{\mathbb{R}^n}\min\{1,r^s|y-x|^{-s}\}d\mu(y).
Falconer, K. J., Howroyd, J. D.
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QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION

Fractals, 2021
In this paper, two large classes of Moran sets with packing dimension 1 are shown to be quasisymmetrically minimal for packing dimension.
YANZHE LI, XIAOHUI FU, JIAOJIAO YANG
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Species Packing in Two Dimensions

The American Naturalist, 1977
The two-dimensional case for invasion by a species into a resource space occupied by two resident species is considered. Numerical solutions for the condition for invasion were obtained, and invisibility spaces constructed for certain sets of values for the parameters of the system.
Ronald M. Yoshiyama, Jonathan Roughgarden   +1 more
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Spectral Packing Dimensions through Power-Law Subordinacy

Annales Henri Poincaré, 2012
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Carvalho, Silas L. UNIFESP, Oliveira, Cesar R. de   +1 more
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Packing dimension, Hausdorff dimension and Cartesian product sets

Mathematical Proceedings of the Cambridge Philosophical Society, 1996
AbstractWe show that the dimension adim introduced by R. Kaufman (1987) coincides with the packing dimension Dim, but the dimension aDim introduced by Hu and Taylor [7] is different from the Hausdorff dimension. These results answer questions raised by Hu and Taylor.
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Multifractal phenomena and packing dimension

2016
We undertake a general study of multifractal phenomena for functions. We show that the existence of several kinds of multifractal functions can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series. Using careful constructions, we extend our results to these cases.
Bayart, Fr��d��ric, Heurteaux, Yanick   +1 more
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Packing Measure and Dimension of Random Fractals

Journal of Theoretical Probability, 2002
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Berlinkov, Artemi, Mauldin, R. Daniel
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Hausdorff, Similarity, and Packing Dimensions

2020
In this chapter we consider three fractal dimensions of a geometric object \({\varOmega } \subset {\mathbb {R}}^E\):
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