| Abstract: |
| Mean dimension is a topological invariant of topological dynamical systems, first introduced by Gromov.
Subsequently, Lindenstrauss and Weiss conducted further investigations on this quantity, aiming to address an embedding problem proposed by Auslander in the 1970s. Furthermore, from the perspective of entropy theory, they introduced the concept of metric mean dimension. In 2018--2019, Lindenstrauss and Tsukamoto established the variational principles for (metric) mean dimension. In this talk, we present our recent progress regarding the variational principles for (metric) mean dimension. |
|