Dynamics Seminar: Elon Lindenstrauss (HUJI) - Double variational principle for mean dimension

Mean dimension is a topological invariant of dynamical systems introduced by Gromov that measures the number of parameters per iteration needed to describe a trajectory in the system. We characterize this invariant (at least for dynamical systems with the marker property, such as infinite minimal systems) using a min-max principle, where choices of both a metric on the topological space and an invariant probability measure on the system are varied. The work I will report on is joint work with M. Tsukamoto.


Tue, 19/03/2019 - 14:15 to 15:15