Tom Meyerovitch (BGU): On expansivness, topological dimension and mean dimesnion

Expansivness is a fundamental property of dynamical systems. It is sometimes viewed as an indication to chaos. However, expansiveness also sets limitations on the complexity of a system. Ma\~{n}'{e} proved in the 1970’s that a compact metric space that admits an expansive homeomorphism is finite dimensional. In this talk we will discuss a recent extension of Ma\~{n}'{e}’s theorem for actions generated by multiple homeomorphisms, based on joint work with Masaki Tsukamoto. This extension relies on a notion called “topological mean dimension’’ , introduced by Gromov and developed by Lindenstrauss and Weiss in the late 1990’s.


Tue, 05/06/2018 - 14:15 to 15:15


Ross 70