1 citations · 2 across the 2 of their papers we have counts for
6 papers
Mean dimension and a non-embeddable example for amenable group actions
Lei Jin, Kyewon Koh Park, Yixiao Qiao
For every infinite (countable discrete) amenable group and every positive integer we construct a minimal -action of mean dimension which cannot be embedded in the…
Zero-dimensional isomorphic dynamical models
Tomasz Downarowicz, Lei Jin, Wolfgang Lusky +1
By an \emph{assignment} we mean a mapping from a Choquet simplex to probability measure-preserving systems, obeying some natural restrictions. We prove that if is an aperio…
A new universal real flow of the Hilbert-cubical type
Lei Jin, Siming Tu
We provide a new universal real flow of the Hilbert-cubical type. We prove that any real flow can be equivariantly embedded in the translation on , where…
A Lipschitz refinement of the Bebutov--Kakutani dynamical embedding theorem
Yonatan Gutman, Lei Jin, Masaki Tsukamoto
We prove that an -action on a compact metric space embeds equivariantly in the space of one-Lipschitz functions if its fixed point set can be topol…
Mean dimension and an embedding theorem for real flows
Yonatan Gutman, Lei Jin
We develop mean dimension theory for -flows. We obtain fundamental properties and examples and prove an embedding theorem: Any real flow of mean dimens…
Stable sets and mean Li-Yorke chaos in positive entropy actions of bi-orderable amenable groups
Wen Huang, Lei Jin
It is proved that positive entropy implies mean Li-Yorke chaos for a G-system, where G is a countable infinite discrete bi-orderable amenable group. Examples are given for the case…