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On Recurrence for Zd-Weyl Systems

Donoso, Sebastian
•
Hernandez, Felipe  
•
Maass, Alejandro
May 3, 2025
Monatshefte Fur Mathematik

We study the topological recurrence phenomenon of actions of locally compact abelian groups on compact metric spaces. In the case of Zd actions, we develop new techniques to analyze Bohr recurrence sets, and show that Bohr recurrence implies recurrence for Zd-Weyl systems. This family encompasses, for example, all Zd-affine nilsystems.

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10.1007_s00605-025-02088-9.pdf

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Main Document

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openaccess

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CC BY

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529.59 KB

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Adobe PDF

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876343de1ec2390162b32a95fd033f06

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