Jelena Katić

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math.DS2026

A flexibility result for polynomial entropy of pointwise periodic homeomorphisms

Maša Đorić, Jelena Katić, Milan Perić

We construct a family of continua and pointwise periodic homeomorphisms realizing arbitrary polynomial entropy values in $[0, + \infty]$ . In particular, this provides examples of poi…

math.DS2026

Complexity function and entropy of induced maps on hyperspaces of continua

Jelena Katić, Darko Milinković, Milan Perić

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…

math.DS2026

Polynomial entropy on regular curves

Maša Đorić, Jelena Katić

We show that the polynomial entropy of homeomorphisms on regular curves is bounded above by one. Moreover, the polynomial entropy equals one under the fairly mild condition that th…

math.DS2025

Polynomial entropy of induced homeomorphisms on $C_{k} (S^{1})$ and $C_{k} ([0, 1])$

Maša Đorić, Jelena Katić

We compute the polynomial entropy of $C_{k} (f)$ where $f$ is any circle or interval homeomorphism.

math.DS2025

Shadowing property on hyperspace of continua induced by Morse gradient system

Jelena Katić, Darko Milinković

It is known that Morse-Smale diffeomorphisms have the shadowing property; however, the question of whether $C (f)$ also has the shadowing property when $f$ is Morse-Smale remains op…

A flexibility result for polynomial entropy of pointwise periodic homeomorphisms

Complexity function and entropy of induced maps on hyperspaces of continua

Polynomial entropy on regular curves

Polynomial entropy of induced homeomorphisms on Ck​(S1) and Ck​([0,1])

Shadowing property on hyperspace of continua induced by Morse gradient system

Polynomial entropy of induced homeomorphisms on $C_{k} (S^{1})$ and $C_{k} ([0, 1])$