In this paper we extend the definitions of mean dimension and metric mean dimension for non-autonomous dynamical systems. We show some properties of this extension and furthermore some applications to the mean dimension ...

We develop mean dimension theory for R-flows. We obtain fundamental properties and examples and prove an embedding theorem: Any real flow (X, R) of mean dimension strictly less than r admits an extension (Y, R) whose mean ...

For every infinite (countable discrete) amenable group G and every positive integer d we construct a minimal G-action of mean dimension d/2 which cannot be embedded in the full G-shift on ([0,1](d))(G) .

M. Gromov introduced the mean dimension for a continuous map in the late 1990’s, which is an invariant under topological conjugacy. On the other hand, the notion of metric mean dimension for a dynamical system was introduced ...

Intuitivamente, um ponto tem dimensão 0, uma reta tem dimensão 1, um plano tem dimensão 2 e um cubo tem dimensão 3. Porém, na geometria fractal encontramos objetos matemáticos que possuem dimensão fracionária. Esses objetos ...

Objective: Estimate the DGC dimensions and determine whether the DGC dimension varies by gingival biotype. Methods: A cross-sectional study was performed in the Undergraduate and Prosthodontic Graduate Program clinics ...