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Comptes Rendus. Mathématique, 2020 This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
Selmi, Bilel
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Constructive Approximation, 2013 A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation of a fractal function.
Barnsley, Michael, vince, Andrew
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Frontiers in Physiology, 2012 WHEN INVESTIGATING FRACTAL PHENOMENA, THE FOLLOWING QUESTIONS ARE FUNDAMENTAL FOR THE APPLIED RESEARCHER: (1) What are essential statistical properties of 1/f noise? (2) Which estimators are available for measuring fractality? (3) Which measurement instruments are appropriate and how are they applied?
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A Brief Survey of Paradigmatic Fractals from a Topological Perspective
Fractal and Fractional, 2023 The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d.
Julián Patiño Ortiz +3 more
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Physica Scripta, 1989 An overview is given of the known relations between various dynamical properties of fractal structure, such as vibration density, diffusion and electrical resistivity. Examples are given from the family of walk-generated fractals: SAW with and without bridges, k-tolerant walks and randorn walks.
Dekeyser, Raf +3 more
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Using Fractals in Information Hiding [PDF]
Engineering and Technology Journal, 2009 Fractals are generated by simple, recursive calculations. Encryption anddecryption algorithms that take advantage of fractals are developed. This paper presents a new approach for information hiding using iterated function system (IFS) this approach ...
Nadia M. Al-Saidie, Thanaa A. Kadhim
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Algebraic features of algorithm composition for calculating fractal structure [PDF]
E3S Web of Conferences, 2020 The construction methods analysis of known geometric fractals allows us to reveal algebraic features of fractal algorithms composition. The main concept of the analysis results is fractal operators which are basic operations for constructing fractals of ...
Maikov K.A. +3 more
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Simple Fractal Calculus from Fractal Arithmetic [PDF]
Reports on Mathematical Physics, 2018 published version; modified ...
Aerts, Diederik +2 more
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The Structure of Mn and Co Nanoparticles Obtained in Direct Surfactant Micelles [PDF]
Журнал нано- та електронної фізики, 2017 The article deals with synthesis of Co and Mn nanoparticles in micellar aqueous solutions of cetyl pyridinium chloride. The nanoparticles (3-4В nm) and the spherical fractals (50, 150, 500 nm) have been identified with electron spectroscopy, dynamic ...
I.G.В Vorobiova +2 more
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Structural Properties of Molecular Sierpiński Triangle Fractals
Nanomaterials, 2020 The structure of fractals at nano and micro scales is decisive for their physical properties. Generally, statistically self-similar (random) fractals occur in natural systems, and exactly self-similar (deterministic) fractals are artificially created ...
Eugen Mircea Anitas
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