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math.DS2020
On the Space of Iterated Function Systems and Their Topological Stability
Alexander Arbieto, Alexandre Trilles
We study iterated function systems (IFS) with compact parameter space. We show that the space of IFS with phase space is the hyperspace of the space of self continuous maps of…
math.DS2020
Shadowing for codimension one sectional-Anosov flows
A. Arbieto, A. M. López, Y. Sánchez
In hyperbolic dynamics, a well-known result is that every hyperbolic attracting set, have a finite pseudo-orbit tracing property (FPOTP). It's natural to wonder if this result is m…