The Eigenvalue Problem for Linear and Affine Iterated Function Systems [PDF]
, 2010 The eigenvalue problem for a linear function L centers on solving the eigen-equation Lx = rx. This paper generalizes the eigenvalue problem from a single linear function to an iterated function system F consisting of possibly an infinite number of linear
Barnsley, Michael, Vince, Andrew
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Attractor of Cantor Type with Positive Measure [PDF]
, 2017 We construct an iterated function system consisting of strictly increasing contractions $f,g\colon [0,1]\to [0,1]$ with $f([0,1])\cap g([0,1])=\emptyset$ and such that its attractor has positive Lebesgue ...
Morawiec, Janusz, Zürcher, Thomas
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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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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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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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SEMIGROUP ACTION FOR HUTCHITSON OPERATOR OF ITERATED FUNCTION SYSTEM [PDF]
, 2016 In this article, we are trying to see the Iterated function system or more generally a skew product as formation a semigroup action system. We will try to implement more semigroup action properties on itself.
Rezaali, Esmaeel
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The absolute continuity of the invariant measure of random iterated function systems with overlaps
, 2009 We consider iterated function systems on the interval with random perturbation. Let $Y_\epsilon$ be uniformly distributed in $[1- \epsilon, 1 + \epsilon]$ and let $f_i \in C^{1+\alpha}$ be contractions with fixpoints $a_i$.
Barany, Balazs, Persson, Tomas
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Inter-Intra Molecular Dynamics as an Iterated Function System
, 2005 The dynamics of units (molecules) with slowly relaxing internal states is studied as an iterated function system (IFS) for the situation common in e.g. biological systems where these units are subjected to frequent collisional interactions.
Barnsley M. +15 more
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Iterated Function System Models in Data Analysis: Detection and Separation
, 2011 We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps.
Alexander, Zachary +3 more
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PERANCANGAN PERANGKAT LUNAK GENERATOR GAMBAR DAN MUSIK FRAKTAL DENGAN METODE ITERATED FUNCTION SYSTEM [PDF]
, 2007 Artikel menjelaskan analisis dan perancangan perangkat lunak yang dapat memanfaatkan geometri fraktal, khususnya fraktal iterated function system, sebagai seni.
Bayu, Riyadi +2 more
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