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Fractal dimension for fractal structures
Topology and its Applications, 2014 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
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Fractal Pharmacokinetics [PDF]
Computational and Mathematical Methods in Medicine, 2009 Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
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Generación de fractales a partir del método de Newton
Modelling in Science Education and Learning, 2013 A large number of fractals known, as Julia fractals and Mandelbrot, can be generated from an iterative method. In this paper we present a virtual laboratory developed as a Graphical User Interface (GUI) of Matlab that allows us to study and visualize in ...
María José Marín +2 more
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Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021 Davis and Knuth in 1970 introduced the notion of revolving sequences, as representations of a Gaussian integer. Later, Mizutani and Ito pointed out a close relationship between a set of points determined by all revolving sequences and a self-similar set, which is called the Dragon.
Kawamura, Kiko, Allen, Andrew
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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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Artificial Intelligence, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keith McGreggor +2 more
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Maple Transactions, 2023 An exponential tower is obtained by repeatedly raising a number to itself, as in xˣ, x^{x^x}, and so on. When formulated as an iterative process, it may converge to a single value, diverge to infinity, cycle between multiple values, or wander forever. Representing this property graphically leads to a beautiful fractal object.
Johan Joby +2 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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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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From Fractal Groups to Fractal Sets [PDF]
, 2003 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
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