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math.DS2024
Minimal covers with continuity-preserving transfer operators for topological dynamical systems
Kevin Aguyar Brix, Jeremy B. Hume, Xin Li
Given a non-invertible dynamical system with a transfer operator, we show there is a minimal cover with a transfer operator that preserves continuous functions. We also introduce a…
math.DS2024
Katsura-Exel-Pardo self-similar actions, Putnam's binary factors and their limit spaces
Jeremy B. Hume, Michael F. Whittaker
We show that the dynamical system associated by Putnam to a pair of graph embeddings is identical to the shift map on the limit space of a self-similar groupoid action on a graph.…