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The exact packing measure of Lévy trees [PDF]
Stochastic Processes and their Applications, 2012 33 ...
T. Duquesne
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On the packing measure of the Sierpinski gasket [PDF]
Nonlinearity, 2018 We show that the s-dimensional packing measure P^{s}(S) of the Sierpinski gasket S, where s=((log3)/(log2)) is the similarity dimension of S, satisfies 1.6677≤P^{s}(S)≤1.6713. We present a formula (see Theorem 6) that enables the achievement of the above measure bounds for this non-totally disconnected set as it shows that the symmetries of the ...
LLorente Comí, Marta +2 more
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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.
G. Edgar
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The packing measure of the range of Super-Brownian motion [PDF]
The Annals of Probability, 2009 We prove that the total range of Super-Brownian motion with quadratic branching mechanism has an exact packing measure with respect to the gauge function $g(r)=r^4 (\log \log1/r)^{-3}$ in super-critical dimensions $d\geq 5$. More precisely, we prove that the total occupation measure of Super-Brownian motion is equal to the $g$-packing measure ...
T. Duquesne
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RosettaHoles2: a volumetric packing measure for protein structure refinement and validation. [PDF]
Protein Sci, 2010 Sheffler W, Baker D.
europepmc +2 more sources
Some Relations Between Packing Premeasure and Packing Measure
Bulletin of the London Mathematical Society, 1999 Summary: Let \(K\) be a compact subset of \(\mathbb{R}^n\), \(0\leq s\leq n\). Let \(P^s_0\), \({\mathcal P}^s\) denote \(s\)-dimensional packing premeasure and measure, respectively. We discuss in this paper the relation between \(P^s_0\) and \({\mathcal P}^s\). We prove: if \(P^s_0(K)< \infty\), then \({\mathcal P}^s(K)= P^s_0(K)\); and if \(P^s_0(K)=
Feng, De-Jun, Hua, Su, Wen, Zhi-Ying
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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 ...
Sandra Meinershagen
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The packing measure of a general subordinator
Probability Theory and Related Fields, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fristedt, Bert E., Taylor, S. James
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Exact packing measure on a Galton–Watson tree
Stochastic Processes and their Applications, 2000 Let \(\mathbf T\) be the Galton-Watson tree and \(H(\partial \mathbf T), P^*(\partial \mathbf T)\) be the Hausdorff and spherical packing measures on the boundary \(\partial \mathbf T\), respectively. In an earlier paper [Probab. Theory Relat. Fields 104, No.
Quansheng Liu
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The Hausdorff measure and the packing measure on a perturbed Cantor set
, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandra Meinershagen
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