We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop theory for it and use it in particular to provide examples of thick metric attractors with intermingled basins.
@article{arxiv.2408.00339,
title = {Thick attractors with intermingled basins},
author = {Abbas Fakhari and Ale Jan Homburg},
journal= {arXiv preprint arXiv:2408.00339},
year = {2026}
}