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Topological Dynamics and Continuum Theory

Dynamics/CT Session #1 #4

Subevent of Dynamics/CT Session #1

Central Time (US & Canada)

Starts at: 2025-08-11 11:30AM

Ends at: 2025-08-11 11:55AM

Turbulent closed relations

Judy Kennedy ⟨kennedy9905@gmail.com⟩

Abstract:

In classical dynamical systems, turbulence has played a pivotal role in understanding chaotic behavior, particularly for interval maps. This talk extends the notion of turbulence from continuous functions to closed relations on compact metric spaces, utilizing Mahavier products and associated shift maps. We define and explore CR-turbulence (Closed Relation Turbulence) and its variants, establishing connections between turbulence and topological entropy in the setting of closed relations. This is joint work with Chris Mouron and Van Nall.

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