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Packing and Hausdorff measures of stable trees [PDF]
, 2010 In this paper we discuss Hausdorff and packing measures of random continuous trees called stable trees. Stable trees form a specific class of L\'evy trees (introduced by Le Gall and Le Jan in 1998) that contains Aldous's continuum random tree (1991 ...
A Berlinkov +35 more
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Packing measures on ultrametric spaces [PDF]
Studia Mathematica, 1988 A metric space (X,d) is ultrametric if \(d(x,y)\leq \max (d(x,z),d(z,y))\) for all \(x,y,z\in X.\) Many questions of geometric measure theoretic type are faciliated on ultrametric spaces by the fact that any two balls are either disjoint or one is contained in the other.
Hermann Haase
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Square packings and rectifiable doubling measures [PDF]
, 2023 40 pages, 5 figures: this is the final version in Discrete Analysis ...
Matthew Badger, Raanan Schul
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Packing measures and dimensions on cartesian products [PDF]
Publicacions Matemàtiques, 2012 Packing measures and Hewitt-Stromberg measures on products of metric spaces are investigated. New product inequalities for packing and lower packing dimensions are esatblished and used to solve a problem of Hu and Taylor regarding packing dimension.
Ondřej Zindulka
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Measuring order in the isotropic packing of elastic rods [PDF]
, 2011 The packing of elastic bodies has emerged as a paradigm for the study of macroscopic disordered systems. However, progress is hampered by the lack of controlled experiments.
Adda-Bedia, M. +4 more
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Packing dimension of mean porous measures [PDF]
Journal of the London Mathematical Society, 2009 We prove that the packing dimension of any mean porous Radon measure on $\mathbb R^d$ may be estimated from above by a function which depends on mean porosity. The upper bound tends to $d-1$ as mean porosity tends to its maximum value. This result was stated in \cite{BS}, and in a weaker form in \cite{JJ1}, but the proofs are not correct.
D. Beliaev +6 more
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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 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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The exact packing measure of Lévy trees [PDF]
Stochastic Processes and their Applications, 2011 33 ...
Thomas Duquesne
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Are these crystals isostructural? Symmetry requirements, extent of difference, and likeness of supramolecular interactions [PDF]
Structural DynamicsThe intentional design of crystalline materials, the fine-tuning of physical and chemical properties by slight chemical alterations - crystal engineering - requires understanding of solid-state assembly including supramolecular interactions and ...
Petra Bombicz
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RosettaHoles2: a volumetric packing measure for protein structure refinement and validation. [PDF]
Protein Sci, 2010 Sheffler W, Baker D.
europepmc +3 more sources