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Spectra of Self-Similar Measures [PDF]
Entropy, 2022 This paper is devoted to the characterization of spectrum candidates with a new tree structure to be the spectra of a spectral self-similar measure μN,D generated by the finite integer digit set D and the compression ratio N−1.
Yong-Shen Cao +2 more
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Self-similar chiral organic molecular cages [PDF]
Nature CommunicationsThe endeavor to enhance utility of organic molecular cages involves the evolution of them into higher-level chiral superstructures with self-similar, presenting a meaningful yet challenging.
Zhen Wang +7 more
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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.).
Daniel J. Kelleher +2 more
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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
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Self-Similarity and Localization [PDF]
Physical Review Letters, 1995 4 pages, RevTeX, 2 figures ...
Ketoja, Jukka A., Satija, Indubala I.
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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
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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
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Elementary Fractal Geometry. 2. Carpets Involving Irrational Rotations
Fractal and Fractional, 2022 Self-similar sets with the open set condition, the linear objects of fractal geometry, have been considered mainly for crystallographic data. Here we introduce new symmetry classes in the plane, based on rotation by irrational angles.
Christoph Bandt, Dmitry Mekhontsev
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Study on Flow Characteristic of Sub-/Super-Sonic Mixing Layer
Xibei Gongye Daxue Xuebao, 2020 In order to obtain the flow characteristics of sub-super-sonic mixing layer including velocity distribution, pressure distribution and development of mixing layer, experimental and numerical investigations were conducted.
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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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