Complexity function and entropy of induced maps on hyperspaces of continua
Dynamical Systems
2026-03-12 v1
Abstract
We use the complexity function of an invariant, not necessary closed, subset of a two-sided shift space to compute the polynomial entropy of the induced dynamics on the hyperspace of continua for certain one-dimensional dynamical systems. We also provide a simple criterion for that implies has infinite topological entropy.
Cite
@article{arxiv.2603.10644,
title = {Complexity function and entropy of induced maps on hyperspaces of continua},
author = {Jelena Katić and Darko Milinković and Milan Perić},
journal= {arXiv preprint arXiv:2603.10644},
year = {2026}
}
Comments
19 pages, 1 figure