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arXiv · 2603.10644

Complexity function and entropy of induced maps on hyperspaces of continua

Jelena Katić·Darko Milinković·Milan Perić
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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 $f$ that implies $C(f)$ has infinite topological entropy.

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Jelena Katić, Darko Milinković, Milan Perić. 2026-03-11. Complexity function and entropy of induced maps on hyperspaces of continua. https://arxiv.org/abs/2603.10644

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