Results 11 to 20 of about 325,035 (334)
The symmetric derivation basis measure and the packing measure [PDF]
Proceedings of the American Mathematical Society, 1988 The packing measure as defined by S. J. Taylor for continuous, monotone functions h h and the measure generated by the symmetric derivation basis measure using h h are shown here to be the same for subsets of the real line.
Sandra Meinershagen
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PACKING MEASURE IN GENERAL METRIC SPACE [PDF]
Real Analysis Exchange, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgar
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THE HAUSDORFF MEASURE AND THE PACKING MEASURE ON A PERTURBED CANTOR SET [PDF]
Real Analysis Exchange, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meinershagen
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Packing measure as a gauge variation [PDF]
Proceedings of the American Mathematical Society, 1994 Meinershagen noted that (in the line) the fractal packing measure of Tricot and Taylor can be considered to be a Henstock-Thomson gauge variation ("method III") for an appropriate choice of derivation basis and set function. We show that this point of view remains interesting in a general metric space.
Gerald A. Edgar
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On the packing measure of self-similar sets [PDF]
Nonlinearity, 2013 7 pages.
Tuomas Orponen
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Measuring the configurational temperature of a binary disc packing [PDF]
Soft Matter, 2014 Jammed packings of granular materials differ from systems normally described by statistical mechanics in that they are athermal. In recent years a statistical mechanics of static granular media has emerged where the thermodynamic temperature is replaced by a configurational temperature X which describes how the number of mechanically stable ...
Zhao, Song-Chuan, Schröter, Matthias
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Hausdorff and packing measure for thick solenoids [PDF]
Studia Mathematica, 2004 Summary: For a linear solenoid with two different contraction coefficients and box dimension greater than 2, we give precise formulas for the Hausdorff and packing dimensions. We prove that the packing measure is infinite and give a condition necessary and sufficient for the Hausdorff measure to be positive, finite and equivalent to the SBR measure. We
Michał Rams
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ON CANTOR SETS AND PACKING MEASURES
Bulletin of the Korean Mathematical Society, 2015 For every doubling gauge g, we prove that there is a Cantor set of positive finite -measure, -measure, and -premeasure. Also, we show that every compact metric space of infinite -premeasure has a compact countable subset of infinite -premeasure. In addition, we obtain a class of uniform Cantor sets and prove that, for every set E in this class, there ...
Sheng-You Wen, Chun Wei
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The exact packing measure of Lévy trees
Stochastic Processes and their Applications, 2012 33 ...
Thomas Duquesne
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RosettaHoles2: a volumetric packing measure for protein structure refinement and validation. [PDF]
Protein Sci, 2010 Sheffler W, Baker D.
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