Joint transitivity for linear iterates
Dynamical Systems
2024-04-12 v1
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.
Cite
@article{arxiv.2404.07876,
title = {Joint transitivity for linear iterates},
author = {Sebastián Donoso and Andreas Koutsogiannis and Wenbo Sun},
journal= {arXiv preprint arXiv:2404.07876},
year = {2024}
}
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