Results 11 to 20 of about 2,819,901 (294)
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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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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Dimension estimates for $C^1$ iterated function systems and repellers. Part I
Ergodic Theory and Dynamical Systems, 2022 This is the first paper in a two-part series containing some results on dimension estimates for $C^1$ iterated function systems and repellers. In this part, we prove that the upper box-counting dimension of the attractor of any $C^1$ iterated ...
De-Jun Feng, K. Simon
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Invariant measures for iterated function systems with inverses
Journal of Fractal Geometry, 2022 . We consider iterated function systems that contain inverses in the overlapping case. We focus on the parameterized families of iterated function systems with inverses, satisfying the transversality condition.
Yuki Takahashi
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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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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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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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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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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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