Persistence for finite-resolution dynamics

Abstract: To study the dynamics of a continuous self-map on a metric space, we can use a finite-resolution approximation of the map. But the dynamics of the approximation depend on the choice of resolution. We study the persistence -- a notion from topological data analysis -- of the dynamics as the resolution changes, in particular of the Morse decomposition of the recurrent set.

dynamical systems

Audience: researchers in the topic

Little school dynamics

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