局部枝晶上具有有限轨道的群作用

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-10-02 DOI:10.1080/14689367.2021.1994925

E. Abdalaoui, I. Naghmouchi

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引用次数: 3

摘要

结果表明，任何具有有限轨道的群对局部枝晶的极小集的作用的约束是等连续的。因此，我们得到了任何服从群和限制于任何极小枝晶集的Thompson群的作用是等连续的。我们进一步提供了一类不可调和群，其对局部枝晶的极小集的作用是等连续的。此外，我们将一些结果推广到了dendron。我们进一步给出了不变概率测度集及其极值点的一个刻画。

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Group action with finite orbits on local dendrites

It is shown that the restriction of the action of any group with finite orbit on the minimal sets of local dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group restricted to any minimal sets of dendrite is equicontinuous. We further provide a class of non-amenable groups whose action on the minimal sets of local dendrites is equicontinuous. Moreover, we extend some of our results to dendron. We further give a characterization of the set of invariant probability measures and its extreme points.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences