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Acknowledgement to Reviewers of Fractal Fract in 2019
The editorial team greatly appreciates the reviewers who have dedicated their considerable time and expertise to the journal’s rigorous editorial process over the past 12 months, regardless of whether the papers are finally published or not [...]
Fractal and Fractional Editorial Office
doaj +1 more source
Fractal dimension for fractal structures
The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M. +1 more
openaire +3 more sources
Effect of Heterogeneity in Initial Geographic Distribution on Opinions’ Competitiveness
Spin dynamics on networks allows us to understand how a global consensus emerges out of individual opinions. Here, we are interested in the effect of heterogeneity in the initial geographic distribution of a competing opinion on the competitiveness of ...
Alexander S. Balankin +5 more
doaj +1 more source
Any physical laws are scale-dependent, the same phenomenon might lead to debating theories if observed using different scales. The two-scale thermodynamics observes the same phenomenon using two different scales, one scale is generally used in the ...
Ji-Huan He, Q. Ain
semanticscholar +1 more source
Skeleton and fractal scaling in complex networks [PDF]
We find that the fractal scaling in a class of scale-free networks originates from the underlying tree structure called skeleton, a special type of spanning tree based on the edge betweenness centrality.
B. Kahng +7 more
core +1 more source
Acknowledgement to Reviewers of Fractal Fract in 2018
Rigorous peer-review is the corner-stone of high-quality academic publishing [...]
Fractal Fract Editorial Office
doaj +1 more source
Dimension of the intersection of certain Cantor sets in the plane [PDF]
In this paper we consider a retained digits Cantor set \(T\) based on digit expansions with Gaussian integer base. Let \(F\) be the set all \(x\) such that the intersection of \(T\) with its translate by \(x\) is non-empty and let \(F_{\beta}\) be the ...
Steen Pedersen, Vincent T. Shaw
doaj +1 more source
Abstract Self-similar patterns are frequently observed in Nature. Their reproduction is possible on a length scale 102–105 nm with lithographic methods, but seems impossible on the nanometer length scale. It is shown that this goal may be achieved via a multiplicative variant of the multi-spacer patterning technology, in this way permitting ...
Cerofolini, GF +3 more
openaire +2 more sources
From Fractal Groups to Fractal Sets [PDF]
This paper is a survey, with few proofs, of ideas and notions related to self-similarity of groups, semi-groups and their actions. It attempts to relate these concepts to more familiar ones, such as fractals, self-similar sets, and renormalizable dynamical systems.
Bartholdi, Laurent +2 more
openaire +3 more sources
Circle grid fractal plate as a turbulent generator for premixed flame: an overview [PDF]
This review paper focuses to ascertain a new approach in turbulence generation on the structure of premixed flames and external combustion using a fractal grid pattern.
A Khalid +17 more
core +1 more source

