Weakly contractive iterated function systems and beyond: a manual

K Leśniak, N Snigireva, F Strobin - Journal of Difference Equations …, 2020 - Taylor & Francis
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 …

The chaos game on a general iterated function system from a topological point of view

MF Barnsley, K Leśniak - International Journal of Bifurcation and …, 2014 - World Scientific
We investigate combinatorial issues relating to the use of random orbit approximations to the
attractor of an iterated function system with the aim of clarifying the role of the stochastic …

[HTML][HTML] Chaos game for IFSs on topological spaces

MF Barnsley, K Leśniak, M Rypka - Journal of Mathematical Analysis and …, 2016 - Elsevier
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Some recent progress concerning topology of fractals

MF Barnsley, DC Wilson, K Leśniak - Recent progress in general topology …, 2013 - Springer
We give a panorama of recent results in fractal geometry, concerning properties of attractors
of iterated function systems (IFS). The work we present has a topological flavour but is …

Random iteration for infinite nonexpansive iterated function systems

K Leśniak - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
We prove that the random iteration algorithm works for strict attractors of infinite iterated
function systems. The system is assumed to be compactly branching and nonexpansive. The …

[PDF][PDF] BeliefFlow: A Framework for Logic-Based Belief Diffusion via Iterated Belief Change (with proofs in an appendix)

N Schwind, K Inoue, S Konieczny, P Marquis - 2024 - nicolas-schwind.github.io
This paper presents BeliefFlow, a novel framework for representing how logical beliefs
spread among interacting agents within a network. In a Belief Flow Network (BFN), agents …

Random iteration for non–expansive iterated function systems: derandomised algorithm

K Leśniak - International Journal of Applied Nonlinear …, 2014 - inderscienceonline.com
A probabilistic algorithm, referred to as the'chaos game', is derandomised with the aid of
deterministic symbolic sequences, known in the algorithmic complexity under the …