Results 1 to 10 of about 104,900 (217)
Self-Similar Factor Approximants [PDF]
Physical Review E, 2002 The problem of reconstructing functions from their asymptotic expansions in powers of a small variable is addressed by deriving a novel type of approximants.
A. Okopińska +41 more
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Percolation in self-similar networks [PDF]
Physical Review Letters, 2011 We provide a simple proof that graphs in a general class of self-similar networks have zero percolation threshold. The considered self-similar networks include random scale-free graphs with given expected node degrees and zero clustering, scale-free ...
Boguna, Marian +2 more
core +6 more sources
From self-similar groups to self-similar sets and spectra [PDF]
, 2015 The survey presents developments in the theory of self-similar groups leading to applications to the study of fractal sets and graphs, and their associated ...
A. Teplyaev +20 more
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Self-similar aftershock rates [PDF]
Physical Review E, 2016 In many important systems exhibiting crackling noise --- intermittent avalanche-like relaxation response with power-law and, thus, self-similar distributed event sizes --- the "laws" for the rate of activity after large events are not consistent with the
Baiesi, Marco, Davidsen, Jörn
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FROM SELF-SIMILAR STRUCTURES TO SELF-SIMILAR GROUPS [PDF]
International Journal of Algebra and Computation, 2012 We explore the relationship between the limit spaces of contracting self-similar groups and self-similar structures. We give the condition on a contracting group such that its limit space admits a self-similar structure, and also the condition such that this self-similar structure is post-critically finite (p.c.f.).
Kelleher, Daniel J. +2 more
openaire +2 more sources
Engineering Fractal Photonic Metamaterials by Stochastic Self‐Assembly of Nanoparticles
Advanced Photonics Research, 2021 The scale‐invariant features of fractal‐structured materials offer significant opportunities for the manipulation of short‐ and long‐range light–matter interactions in a 3D space, with recent photonics applications including biomolecular sensing and ...
Zelio Fusco +6 more
doaj +1 more source
Self-similar magnetohydrodynamics [PDF]
Plasma Physics and Controlled Fusion, 1984 For the solution of the full set of magnetohydrodynamics (MHD) equations in the presence of gravity due to a central point-mass, a self-similar theory for a general polytrope has already suggested a set of exact time-dependent solutions by analytical methods for a, (gamma = 4\over3) polytrope, since (gamma = 4/3) is the simplest to treat.
Sanyal, Abhik Kumar, Ray, D.
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Dimension of the intersection of certain Cantor sets in the plane [PDF]
Opuscula Mathematica, 2021 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
Asymptotic profiles for a class of perturbed Burgers equations in one space dimension [PDF]
Opuscula Mathematica, 2018 In this article we consider the Burgers equation with some class of perturbations in one space dimension. Using various energy functionals in appropriate weighted Sobolev spaces rewritten in the variables \(\frac{\xi}{\sqrt\tau}\) and \(\log\tau\), we ...
F. Dkhil, M. A. Hamza, B. Mannoubi
doaj +1 more source
Self-Similarity and Localization [PDF]
Physical Review Letters, 1995 4 pages, RevTeX, 2 figures ...
Ketoja, Jukka A., Satija, Indubala I.
openaire +3 more sources