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math.DS2026
Shadowing and inverse shadowing in spaces retractable onto graphs
Jonathan Meddaugh, Elyssa Stephens
In this paper, we show that shadowing and inverse shadowing are generic properties for spaces in which there exists an -retraction onto a graph for any …
math.DS2025
Shadowing With Small Diameter Sets Of Bounded Cardinality
Jonathan Meddaugh, Elyssa Stephens
We examine dynamical systems with the property that pseudo-orbits can be traced by small diameter sets with bounded cardinality. In particular, we show that mixing sofic subshifts…