Polynomial entropy on the $n$-fold symmetric product and its suspension

Maša Đorić

Polynomial entropy on the $n$-fold symmetric product and its suspension

Dynamical Systems 2026-02-24 v2

Authors: Maša Đorić

Abstract

We prove that the polynomial entropy of the induced map $F_n(f)$ on the $n$ -fold symmetric product of a compact space $X$ and its suspension are both equal to $nh_{pol}(f)$ , when $f:X\to X$ is a homeomorphism with a finite chain recurrent set $\mathcal{CR}(f)$ . We also give a lower bound for the polynomial entropy on the suspension, for a homeomorphism $f$ with at least one wandering point, under certain assumptions.

Keywords

point tracking echocardiography speckle tracking cardiac motion deep learning

Cite

@article{arxiv.2507.10126,
  title  = {Polynomial entropy on the $n$-fold symmetric product and its suspension},
  author = {Maša Đorić},
  journal= {arXiv preprint arXiv:2507.10126},
  year   = {2026}
}

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