Results 11 to 20 of about 12,737,911 (320)
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
semanticscholar +1 more source
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
doaj +1 more source
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.
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
Iteration Functions re-visited [PDF]
Journal of Computational and Applied Mathematics, 2017 A straightforward mechanism for deriving one-point iteration functions (IFs) of order two or more, or simultaneous IFs of order three or more, is given. In addition, the case of multiple zeros is explored. These IFs are extensively tested computationally, and experimental results are given.
Farmer, Michael +2 more
openaire +2 more sources
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
semanticscholar +1 more source
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
doaj +1 more source
Iterated function systems with super-exponentially close cylinders II [PDF]
Proceedings of the American Mathematical Society, 2019 Several important conjectures in Fractal Geometry can be summarised as follows: If the dimension of a self-similar measure in $\mathbb{R}$ does not equal its expected value, then the underlying iterated function system contains an exact overlap.
S. Baker
semanticscholar +1 more source