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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Thermodynamic Formalism for General Iterated Function Systems with Measures. [PDF]
Qual Theory Dyn Syst, 2023 This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm.
Brasil JE, Oliveira ER, Souza RR.
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Intrinsic Diophantine approximation for overlapping iterated function systems [PDF]
Mathematische Annalen, 2023 In this paper we study a family of limsup sets that are defined using iterated function systems. Our main result is an analogue of Khintchine’s theorem for these sets.
Simon Baker
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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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Separation conditions for iterated function systems with overlaps on Riemannian manifolds [PDF]
Journal of Geometric Analysis, 2022 We formulate the weak separation condition and the finite type condition for conformal iterated function systems on Riemannian manifolds with nonnegative Ricci curvature, and generalize the main theorems by Lau et al.
Sze-Man Ngai, Yangyang Xu
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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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Fixed point theorems for nonlinear contractions with applications to iterated function systems
Applied General Topology, 2018 We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong ...
Rajendra Pant
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Best proximity point results of iterated function systems for $ \alpha $-$ \psi $-contractions
AIMS MathematicsIn this paper, we present two new concepts, called $ \alpha $-$ \psi $ -iterated function system and $ \alpha $-$ \psi $-proximal iterated function system, by using $ \alpha $-$ \psi $-contractions and $ \alpha $-$ \psi $ -proximal contractions.
Mustafa Aslantas +3 more
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Common Attractors for Generalized F-Iterated Function Systems in G-Metric Spaces [PDF]
Fractal and FractionalIn this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established.
Talat Nazir, Sergei Silvestrov
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On the dimensions of attractors of random self-similar graph directed iterated function systems [PDF]
, 2017 In this paper we propose a new model of random graph directed fractals that extends the current well-known model of random graph directed iterated function systems, $V$-variable attractors, and fractal and Mandelbrot percolation. We study its dimensional
Sascha Troscheit
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