arXiv subjects

Milan Perić

Publications and source records attributed to Milan Perić.

2 recordsLinked to original sources

arXiv2026

A flexibility result for polynomial entropy of pointwise periodic homeomorphisms

We construct a family of continua and pointwise periodic homeomorphisms realizing arbitrary polynomial entropy values in $[0,+\infty]$. In particular, this provides examples of pointwise periodic homeomorphisms with positive polynomial entropy. This contrasts with the fact that pointwise periodic homeomorphisms on connected manifolds and local dendrites have zero polynomial entropy.

math.DS↗

arXiv2026

Complexity function and entropy of induced maps on hyperspaces of continua

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.

math.DS↗