Borel complexity of the family of attractors for weak IFSs
Sign Up to like & getrecommendations! Published in 2022 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-021-01199-7
Abstract: This paper is an attempt to measure the difference between the family of iterated function systems attractors and a broader family, the set of attractors for weak iterated function systems. We discuss Borel complexity of… read more here.
Keywords: function systems; borel complexity; attractors weak; iterated function ... See more keywords
Dimension estimates for iterated function systems and repellers. Part II
Sign Up to like & getrecommendations! Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.92
Abstract: 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. Dimension estimates… read more here.
Keywords: function systems; dimension; part; iterated function ... See more keywords
Existence Results for Wardoski-Type Convex Contractions and the Theory of Iterated Function Systems
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DOI: 10.3390/sym15061162
Abstract: The purpose of this paper is to define the notion of extended convex F contraction by imposing less conditions on the function F satisfying certain contractive conditions. We prove the existence of fixed points for… read more here.
Keywords: function systems; results wardoski; existence results; iterated function ... See more keywords