On Polynomial Entropy Of Induced Maps On Symmetric Products
We give a lower bound for the polynomial entropy of the induced map on an n -fold symmetric product of X , for a homeomorphism f with at least one wandering point, on a compact space X . Also, we compute some polynomial entropies using this result.
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| Veröffentlicht in: | Acta mathematica Hungarica 2023-12, Vol.171 (2), p.334-347 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | We give a lower bound for the polynomial entropy of the induced map on an
n
-fold symmetric product of
X
, for a homeomorphism
f
with at least one wandering point, on a compact space
X
. Also, we compute some polynomial entropies using this result. |
|---|---|
| ISSN: | 0236-5294 1588-2632 |
| DOI: | 10.1007/s10474-023-01386-8 |