Results 11 to 20 of about 1,003,949 (307)
Bilinear Fractal Interpolation and Box Dimension
In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarevi\'{c} operators.
Barnsley, Michael F. +1 more
core +4 more sources
23 pages, 1 figure, accepted for presentation at SoCG ...
Zdenĕk Dvořák +4 more
openalex +8 more sources
Tree functional traits together with processes such as forest regeneration, growth, and mortality affect forest and tree structure. Forest management inherently impacts these processes.
Ninni Saarinen +8 more
doaj +1 more source
Box ladders in a noninteger dimension [PDF]
We construct a family of triangle-ladder diagrams which may be calculated by making use of Belokurov-Usyukina loop reduction technique in d = 4 -2e dimensions. The main idea of the approach proposed in the present paper consists in generalization of this loop reduction technique existing in d = 4 dimensions.
Gonzalez, Ivan, Kondrashuk, Igor
openaire +8 more sources
Determining method of multiscale fractal dimension of red bed sandstone pores based on CT scanning
The distribution of pore structure inside rock has fractal characteristics in statistical sense, the determination of itsfractal dimension is of great significance to characterize the distribution law of pore structure quantitatively and reveal various ...
Zihan Zhang +3 more
doaj +1 more source
This paper focuses on the management of small businesses in Russia. Despite the growing importance of the Russian small business sector, there are surprisingly few empirical studies focusing on this topic.
Jari Jumpponen +2 more
doaj +1 more source
On distance sets, box-counting and Ahlfors-regular sets [PDF]
We obtain box-counting estimates for the pinned distance sets of (dense subsets of) planar discrete Ahlfors-regular sets of exponent $s>1$. As a corollary, we improve upon a recent result of Orponen, by showing that if $A$ is Ahlfors-regular of dimension
Shmerkin, Pablo
core +3 more sources
The mechanical properties of water-rich coal and rock in a subzero environment are very different from those at room temperature, which causes many unexpected hazards for projects.
Tingxu Jin +5 more
doaj +1 more source
The horizon problem for prevalent surfaces [PDF]
We investigate the box dimensions of the horizon of a fractal surface defined by a function $f \in C[0,1]^2 $. In particular we show that a prevalent surface satisfies the `horizon property', namely that the box dimension of the horizon is one less than ...
J. M. FRASER +5 more
core +4 more sources
Relative multifractal box-dimensions
Given two probability measures ? and ? on Rn. We define the upper and lower relative multifractal box-dimensions of the measure ? with respect to the measure ? and investigate the relationship between the multifractal box-dimensions and the relative multifractal Hausdorff dimension, the relative multifractal pre-packing dimension.
Attia, Najmeddine, Selmi, Bilel
openaire +3 more sources

