Results 31 to 40 of about 167,256 (307)
Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems [PDF]
, 2018 We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer's singular value function for affine iterated function systems with invertible affinities.
Bochi, Jairo, Morris, Ian D.
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The structure of fuzzy fractals generated by an orbital fuzzy iterated function system
Demonstratio Mathematica, 2023 In this article, we present a structure result concerning fuzzy fractals generated by an orbital fuzzy iterated function system ((X,d),(fi)i∈I,(ρi)i∈I)\left(\left(X,d),{({f}_{i})}_{i\in I},{\left({\rho }_{i})}_{i\in I}). Our result involves the following
Savu Irina +2 more
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Construction of Three Branches Fractal Trees Using Iterated Function System
Jurnal Ilmu Dasar, 2022 There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree.
Kosala Dwidja Purnomo +2 more
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A Fibonacci control system with application to hyper-redundant manipulators [PDF]
, 2015 We study a robot snake model based on a discrete linear control system involving Fibonacci sequence and closely related to the theory of expansions in non-integer bases.
Lai, Anna Chiara +2 more
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Approximating distribution functions by iterated function systems [PDF]
Journal of Applied Mathematics and Decision Sciences, 2002 An iterated function system (IFS) on the space of distribution functions is built with the aim of proposing a new class of distribution function estimators. One IFS estimator and its asymptotic properties are studied in detail. We also propose a density estimator derived from the IFS distribution function estimator by using Fourier analysis. Relative
S.M. Iacus, D. La Torre
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H\"older differentiability of self-conformal devil's staircases [PDF]
, 2013 In this paper we consider the probability distribution function of a Gibbs measure supported on a self-conformal set given by an iterated function system (devil's staircase).
Troscheit, Sascha
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On Weakly Hyperbolic Iterated Function Systems [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2016 Updated version.
Arbieto, Alexander +2 more
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Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A. Navascués +2 more
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Fractal approximation of chaos game representations using recurrent iterated function systems
AIMS Mathematics, 2019 We demonstrate that chaos game representations of Cannabis sativa may be approximated by the chaos game approximation of a recurrent iterated function system attractor.
Martin Do Pham
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