Results 11 to 20 of about 10,817,835 (359)
Dimension estimates for $C^1$ iterated function systems and repellers. Part II [PDF]
Ergodic Theory and Dynamical Systems, 2020 This is the second part of our study on the dimension theory of $C^1$ iterated function systems (IFSs) and repellers on $\mathbb {R}^d$ . In the first part [D.-J. Feng and K. Simon.
De-Jun Feng, K. Simon
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Weakly contractive iterated function systems and beyond: a manual [PDF]
, 2020 We give a systematic account of iterated function systems (IFS) of weak contractions of different types (Browder, Rakotch, topological). We show that the existence of attractors and asymptotically stable invariant measures, and the validity of the random
Krzysztof Le'sniak +2 more
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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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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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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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Quantum iterated function systems [PDF]
Physical Review E, 2003 12 pages, 1 figure ...
Łoziński, Artur +2 more
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Dimension of invariant measures for affine iterated function systems [PDF]
Duke mathematical journal, 2019 Let $\{S_i\}_{i\in \Lambda}$ be a finite contracting affine iterated function system (IFS) on ${\Bbb R}^d$. Let $(\Sigma,\sigma)$ denote the two-sided full shift over the alphabet $\Lambda$, and $\pi:\Sigma\to {\Bbb R}^d$ be the coding map associated ...
De-Jun Feng
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Big Birkhoff sums in $d$-decaying Gauss like iterated function systems [PDF]
Studia Mathematica, 2019 The increasing rate of the Birkhoff sums in the infinite iterated function systems with polynomial decay of the derivative (for example the Gauss map) is studied. For different unbounded potential functions, the Hausdorff dimensions of the sets of points
M. Rams, Lingmin Liao
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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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