Yonatan Gutman

activity

20062026

most citedMean Dimension & Jaworski-type Theorems

70 citations · 273 across the 38 of their papers we have counts for

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Showing 2012 · math.DSShow all

3 papers · 2 filters

math.DS2012★ 70 cited

Mean Dimension & Jaworski-type Theorems

Yonatan Gutman

According to the celebrated Jaworski Theorem, a finite dimensional aperiodic dynamical system $(X, T)$ embeds in the $1$ -dimensional cubical shift $([0, 1]^{Z}, s hi f t)$ . If $…

math.DS2012★ 29 cited

Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts

Yonatan Gutman, Masaki Tsukamoto

We show that if $(X, T)$ is an extension of an aperiodic subshift (a subsystem of $(1, 2, ..., l^{Z}, shift)$ for some $l \in N$ ) and has mean dimension $mdim…

math.DS2012

Rank as a function of measure

Tomasz Downarowicz, Yonatan Gutman, Dawid Huczek

We establish certain topological properties of rank understood as a function on the set of invariant measures on a topological dynamical system. To be exact, we show that rank is o…