3 citations · 3 across the 1 of their papers we have counts for
6 papers
On the structure theory of cubespace fibrations
Yonatan Gutman, Bingbing Liang
We study fibrations in the category of cubespaces/nilspaces. We show that a fibration of finite degree between compact ergodic gluing cubespaces (in parti…
Universal minimal flows of homeomorphism groups of high-dimensional manifolds are not metrizable
Yonatan Gutman, Todor Tsankov, Andy Zucker
Answering a question of Uspenskij, we prove that if is a closed manifold of dimension or higher or the Hilbert cube, then the universal minimal flow of …
A probabilistic Takens theorem
Krzysztof Barański, Yonatan Gutman, Adam Śpiewak
Let be a Borel set, a Borel probability measure on and a Lipschitz and injective map. Fix greater than the (Hausdorf…
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…
Application of signal analysis to the embedding problem of -actions
Yonatan Gutman, Yixiao Qiao, Masaki Tsukamoto
We study the problem of embedding arbitrary -actions into the shift action on the infinite dimensional cube . We prove that if a…