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On quantum iterated function systems
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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Entropy of Iterated Function Systems and Their Relations with Black Holes and Bohr-Like Black Holes Entropies. [PDF]
Entropy (Basel), 2018 Corda C +3 more
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Fractal and Fractional, 2021 In 2021, Mork and Ulness studied the Mandelbrot and Julia sets for a generalization of the well-explored function ηλ(z)=z2+λ. Their generalization was based on the composition of ηλ with the Möbius transformation μ(z)=1z at each iteration step ...
Pavel Trojovský, K Venkatachalam
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Accelerated Iterated Filtering
Austrian Journal of Statistics, 2023 Simulation-based inferences have attracted much attention in recent years, as the direct computation of the likelihood function in many real-world problems is difficult or even impossible.
Dao Nguyen
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Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
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Fractal Interpolation Using Harmonic Functions on the Koch Curve
Fractal and Fractional, 2021 The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri +2 more
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On the Fractal interpolation functions associated with Matkowski contractions
Electronic Research Archive, 2023 In this paper we investigate an iterated function system that defines a fractal interpolation function, where ordinate scaling, that is Lipschitz constant in Banach contraction principle is substituted by real-valued control function.
Najmeddine Attia +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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Law of the Iterated Logarithm for some Markov operators [PDF]
, 2015 The Law of the Iterated Logarithm for some Markov operators, which converge exponentially to the invariant measure, is established. The operators correspond to iterated function systems which, for example, may be used to generalize the cell cycle model ...
Hille, Sander C. +3 more
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Fractals via Controlled Fisher Iterated Function System
Fractal and Fractional, 2022 This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
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