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Dynamics seminar: William Geller (IUPUI): Coarse Entropy | Einstein Institute of Mathematics

Dynamics seminar: William Geller (IUPUI): Coarse Entropy

Date: 
Tue, 15/03/202214:00-15:00
Abstract: Coarse geometry studies metric spaces on the large scale.

Our goal here is to study dynamics from a coarse point of view.
To this end we introduce a coarse version of topological entropy,
suitable for unbounded metric spaces, consistent with the coarse
perspective on such spaces. As is the case with the usual topological
entropy, the coarse entropy  measures the divergence of orbits. Following Bowen's ideas,
we use (n,epsilon)-separated or (n,epsilon)-spanning sets.However, we have to let epsilon go to infinity rather than to zero.
This is joint work with Michal Misiurewicz.





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