Results 1 to 10 of about 10,817,736 (260)
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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Iterated function system in ∅- Metric Spaces
Boletim da Sociedade Paranaense de Matemática, 2022 Fractals have gained great attention from researchers due to their wide applications in engineering and applied sciences. Especially, in several topics of applied sciences, the iterated function systems theory has important roles.
Shaimaa Salman Al-bundi
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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 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.
Corda C +3 more
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On quantum iterated function systems [PDF]
Open Physics, 2004 AbstractA Quantum Iterated Function System on a complex projective space is defined through a family of linear operators on a complex Hilbert space. The operators define both the maps and their probabilities by one algebraic formula. Examples with conformal maps (relativistic boosts) on the Bloch sphere are discussed.
Jadczyk Arkadiusz
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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
P. F. Duvall, L. S. Husch
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On the Iteration of analytic functions .
MATHEMATICA SCANDINAVICA, 1953 Hans RadstrÖm
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Iterated Function Systems: A Comprehensive Survey [PDF]
arXiv.org, 2022 We provide an overview of iterated function systems (IFS), where randomly chosen state-to-state maps are applied iteratively to a state. We aim to summarize the state of art and, where possible, identify fundamental challenges and opportunities for ...
Ramen Ghosh, Jakub Marecek
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Intrinsic Diophantine approximation for overlapping iterated function systems [PDF]
Mathematische Annalen, 2021 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.
S. Baker
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Thermodynamic formalism for invariant measures in iterated function systems with overlaps [PDF]
, 2021 We study images of equilibrium (Gibbs) states for a class of non-invertible transformations associated to conformal iterated function systems with overlaps S.
Eugen Mihailescu
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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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