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math.DS2025
A Lipschitz Refinement of the Multidimensional Bebutov--Kakutani Dynamical Embedding Theorem
Yonatan Gutman, Qiang Huo, Masaki Tsukamoto
We prove that a continuous action of on a compact metrizable space equivariantly embeds into the shift action on the space of one-Lipschitz functions from $\mathbb{R…
math.DS2025
On the representation of measurable and continuous dynamical systems by Lipschitz functions
Yonatan Gutman, Qiang Huo
Two representations theorems are presented: 1. Any Borel action of a second countable locally compact group on a standard Borel space admits an injective -equivariant Bo…