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arXiv · 2404.07876

Joint transitivity for linear iterates

Sebastián Donoso·Andreas Koutsogiannis·Wenbo Sun
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Abstract

We establish sufficient and necessary conditions for the joint transitivity of linear iterates in a minimal topological dynamical system with commuting transformations. This result provides the first topological analogue of the classical Berend and Bergelson joint ergodicity criterion in measure-preserving systems.

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Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun. 2024-04-11. Joint transitivity for linear iterates. https://arxiv.org/abs/2404.07876

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