Resumen de Topological prevalence of variable speed of convergence in the deterministic chaos game

Krzysztof Lesniak, Nina Snigireva, Filip Strobin

• Let A be the attractor of a Banach contractive iterated function system (IFS) on a complete space. We prove that the orbit generated by a typical (in the sense of Baire category) driver recovers A with every possible speed. Our result extends the one from the paper: Le´sniak et al. (Chaos 32(1):013110, 2022). We also show that our result is optimal from a certain point of view