On Polynomial Entropy Of Induced Maps On Symmetric Products

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2023-12-11 DOI:10.1007/s10474-023-01386-8

M. Ðorić, J. Katić, B. Lasković

引用次数: 0

Abstract

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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论对称积上诱导映射的多项式熵

我们给出了紧凑空间\(X\)上一个至少有一个游走点的同（f）形上，\(X\)的 \(n\) -fold 对称积上的诱导映射的多项式熵的下界。此外，我们还利用这一结果计算了一些多项式熵。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.