70 citations · 273 across the 38 of their papers we have counts for
4 papers · 1 filter
Metric mean dimension and analog compression
Yonatan Gutman, Adam Śpiewak
Wu and Verdú developed a theory of almost lossless analog compression, where one imposes various regularity conditions on the compressor and the decompressor with the input signal…
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…