Results 1 to 10 of about 333,010 (291)
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
core +7 more sources
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.
Beliaev, D. +6 more
core +6 more sources
Square packings and rectifiable doubling measures
Discrete Analysis, 2023 Square packings and rectifiable doubling measures, Discrete Analysis 2025:3, 40 pp. A measure $\mu$ on a metric space is $m$-rectifiable if it assigns full measure to a countable collection of Lipschitz images of bounded subsets of $\mathbb{R}^m ...
Matthew Badger, Raanan Schul
doaj +3 more sources
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
doaj +2 more sources
On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
doaj +1 more source
Packing dimensions of basins generated by distributions on a finite alphabet
Журнал Белорусского государственного университета: Математика, информатика, 2021 We consider a space of infinite signals composed of letters from a finite alphabet. Each signal generates a sequence of empirical measures on the alphabet and the limit set corresponding to this sequence.
Victor I. Bakhtin, Bruno Sadok
doaj +1 more source
Nuclear Engineering and Technology, 2021 A valve assembly used in nuclear power plants must be qualified and supervised. New technical standards such as ASME QME-1 2007 particularly require detailed qualification using experiment and analysis.
Jaehyung Kim, Taemook Lim, Ho-Geun Ryu
doaj +1 more source
Too packed to change: side-chain packing and site-specific substitution rates in protein evolution [PDF]
PeerJ, 2015 In protein evolution, due to functional and biophysical constraints, the rates of amino acid substitution differ from site to site. Among the best predictors of site-specific rates are solvent accessibility and packing density.
María Laura Marcos, Julian Echave
doaj +2 more sources
PLoS ONE, 2021 Ecological communities are unique assemblages of species that coexist in consequence of multi-causal processes that have proven hard to generalize. One possible exception are processes that control the biomass packing of vegetation stands; the amount of ...
Raphaël Proulx
doaj +1 more source
IUCrJ, 2022 An evaluation of systematic differences in local structure and conformation in the interior of protein tertiary structures determined by crystallography and by cryo-electron microscopy (cryo-EM) is reported.
Ashraya Ravikumar +3 more
doaj +1 more source