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Topological Dynamics and Continuum Theory

Icon: calendar Dynamics/CT Session Talk #1.4

Subevent of Dynamics/CT Session #1

HUMB 148

2025 Aug 11 from 11:30AM to 11:55AM (Central Time (US & Canada))

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.