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Topological Dynamics and Continuum Theory

Dynamics/CT Session #5 #4

Subevent of Dynamics/CT Session #5

Central Time (US & Canada)

Starts at: 2025-08-14 10:00AM

Ends at: 2025-08-14 10:25AM

Neighborhood N-Shadowing

Elyssa Stephens ⟨ellie_stephens2@baylor.edu⟩

Abstract:

We discuss a variation of the shadowing property, called neighborhood N-shadowing, and various dynamical systems with this property. Specifically, we consider neighborhood 2-shadowing with a focus on shift spaces. We discuss progress on characterizing neighborhood 2-shadowing in shift spaces in terms of the language of the shifts, drawing parallels to the known result that shifts of finite type are exactly those shift spaces with the shadowing property.

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