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On quantum iterated function systems [PDF]
Open Physics, 2004 Quantum Iterated Function System on a complex projective space is defined by a family of linear operators on a complex Hilbert space. The operators define both the maps and their probabilities by one algebraic formula.
Jadczyk Arkadiusz
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Quantum Iterated Function Systems [PDF]
Physical Review E, 2003 Iterated functions system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on an initial point. In an analogous way, we define a quantum iterated functions system (QIFS), where functions act randomly with ...
A. Lasota +48 more
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Attractors of iterated function systems [PDF]
Proceedings of the American Mathematical Society, 1992 In this paper, the question of which compact metric spaces can be attractors of hyperbolic iterated function systems on Euclidean space is studied. It is shown that given any finite-dimensional compact metric X X , there is a Cantor set C C such that the disjoint union of C C and X X
L. S. Husch, P. F. Duvall
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Iterated function systems in the hippocampal CA1. [PDF]
Cogn Neurodyn, 2009 How does the information of spatiotemporal sequence stemming from the hippocampal CA3 area affect the postsynaptic membrane potentials of the hippocampal CA1 neurons? In a recent study, we observed hierarchical clusters of the distribution of membrane potentials of CA1 neurons, arranged according to the history of input sequences (Fukushima et al Cogn ...
Kuroda S +4 more
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Entropy of Iterated Function Systems and Their Relations with Black Holes and Bohr-Like Black Holes Entropies [PDF]
Entropy, 2018 In this paper we consider the metric entropies of the maps of an iterated function system deduced from a black hole which are known the Bekenstein–Hawking entropies and its subleading corrections.
Christian Corda +3 more
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Generalized Iterated Function Systems on b-Metric Spaces
Mathematics, 2023 An iterated function system consists of a complete metric space (X,d) and a finite family of contractions f1,⋯,fn:X→X. A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product Xm with values in X ...
Izabella Abraham, Radu Miculescu
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Iterated function system quasiarcs [PDF]
Conformal 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 ...
Kevin Wildrick, Annina Iseli
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Compression Image by Using Iterated Function Systems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 This research was in the compression digital images using the iterative function and applied to grayscale images, color images and then re-pressed image decoding.
Basil Al-khayat, Mahasin Younis
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Sieving random iterative function systems [PDF]
Bernoulli, 2021 36 pages, 2 figures; accepted for publication in ...
Marynych, Alexander, Molchanov, Ilya
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Ends of iterated function systems [PDF]
Mathematische Zeitschrift, 2014 Guided by classical concepts, we define the notion of \emph{ends} of an iterated function system and prove that the number of ends is an upper bound for the number of nondegenerate components of its attractor. The remaining isolated points are then linked to idempotent maps.
Wolfram Hojka, Gregory R. Conner
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