| Abstract: |
| As a new topological invariant, the notion of mean topological dimension was introduced by Gromov (1999). Then it was developed systematically by Lindenstrauss and Weiss (2000). Under marker property, Lindenstrauss and Tsukamoto (2019) developed a variational principle between mean dimension theory and rate distortion theory. In this talk, we extend Lindenstrauss-Tsukamoto double variational principle to dynamics of amenable group action with uniform rokhlin property. This talk is based on the ongoing work with Alessandro Codenotti and Petr Naryshkin. |
|