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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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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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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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Asymptotics of Divide-And-Conquer Recurrences Via Iterated Function Systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Let $k≥2$ be a fixed integer. Given a bounded sequence of real numbers $(a_n:n≥k)$, then for any sequence $(f_n:n≥1)$ of real numbers satisfying the divide-and-conquer recurrence $f_n = (k-mod(n,k))f_⌊n/k⌋+mod(n,k)f_⌈n/k⌉ + a_n, n ≥k$, there is a unique ...
John Kieffer
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Multiple-Function Systems Based on Regular Subdivision
Fractal and Fractional, 2022 Self-similar fractals can be generated using subdivision and the subdivision curves/surfaces are actually attractors. Such a connection has been studied between fractals and an extended family of subdivision including stationary and non-stationary ...
Baoxing Zhang +2 more
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Orbital fuzzy iterated function systems
Fuzzy Sets and Systems, 2023 In this paper we introduce the concept of orbital fuzzy iterated function system and prove that the fuzzy operator associated to such a system is weakly Picard. An example is provided.
Alexandru Mihail, Irina Savu
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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
Duvall, P. F. jun., Husch, L. S.
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Random iterations of homeomorphisms on the circle
Modern Stochastics: Theory and Applications, 2017 We study random independent and identically distributed iterations of functions from an iterated function system of homeomorphisms on the circle which is minimal.
Katrin Gelfert, Örjan Stenflo
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