Results 31 to 40 of about 153,517 (179)

Iterated function system quasiarcs [PDF]

open access: yesConformal Geometry and Dynamics of the American Mathematical Society, 2017
We consider a class of iterated function systems (IFSs) of contracting similarities of Rn\mathbb {R}^n, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval. When such an invariant set is homeomorphic to an interval, we give necessary conditions in terms of the similarities ...
Iseli, Annina, Wildrick, Kevin
openaire   +3 more sources

Probability and Fourier duality for affine iterated function systems

open access: yes, 2008
Let $d$ be a positive integer, and let $\mu$ be a finite measure on $\br^d$. In this paper we ask when it is possible to find a subset $\Lambda$ in $\br^d$ such that the corresponding complex exponential functions $e_\lambda$ indexed by $\Lambda$ are ...
Dutkay, Dorin Ervin, Jorgensen, Palle
core   +3 more sources

Attractors for iterated function systems

open access: yesJournal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2016
Let X be a compact metric space with \mathcal S = \{S_{1}, \ldots, S_{N}\} a finite set of contraction maps from X
D'ANIELLO, Emma, Steele, T. H.
openaire   +2 more sources

Dimensions of Fractals Generated by Bi-Lipschitz Maps

open access: yesAbstract and Applied Analysis, 2014
On the class of iterated function systems of bi-Lipschitz mappings that are contractions with respect to some metrics, we introduce a logarithmic distortion property, which is weaker than the well-known bounded distortion property.
Qi-Rong Deng, Sze-Man Ngai
doaj   +1 more source

On Product Neutrosophic Fractal Spaces and α-Density Theory with Arbitrarily Small and Controlled Error

open access: yesFractal and Fractional
In this manuscript, we present the classical Hutchinson–Barnsley theory on the product neutrosophic fractal spaces by utilizing an iterated function system, which is enclosed by neutrosophic Edelstein contractions and a finite number of neutrosophic b ...
Khaleel Ahmad   +4 more
doaj   +1 more source

Ruelle Operator Theorem for Nonexpansive systems

open access: yes, 2009
The Ruelle operator theorem has been studied extensively both in dynamical systems and iterated function systems. In this paper we study the Ruelle operator theorem for nonexpansive systems.
Barnsley   +7 more
core   +1 more source

The d-Shadowing Property and Average Shadowing Property for Iterated Function Systems

open access: yesComplexity, 2020
In this paper, we introduce the definitions of d¯-shadowing property, d¯-shadowing property, topological ergodicity, and strong ergodicity of iterated function systems IFSf0,f1.
Jie Jiang, Lidong Wang, Yingcui Zhao
doaj   +1 more source

A dynamical point of view of Quantum Information: Wigner measures

open access: yes, 2011
We analyze a known version of the discrete Wigner function and some connections with Quantum Iterated Funcion Systems. This paper is a follow up of "A dynamical point of view of Quantum Information: entropy and pressure" by the same ...
Baraviera, A.   +3 more
core   +1 more source

Gradient boosting regression for faster Partitioned Iterated Function Systems‐based head pose estimation

open access: yesIET Biometrics, 2022
Head pose estimation (HPE) notoriously represents a crucial task for many computer vision applications in robotics, biometry and video surveillance. While, in general, HPE can be performed on both still images and frames extracted from live video or ...
Paola Barra   +4 more
doaj   +1 more source

Dynamical Systems and Numerical Analysis: the Study of Measures generated by Uncountable I.F.S

open access: yes, 2010
Measures generated by Iterated Function Systems composed of uncountably many one--dimensional affine maps are studied. We present numerical techniques as well as rigorous results that establish whether these measures are absolutely or singular continuous.
Mantica, Giorgio
core   +1 more source

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