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math.DS2025
Unital shift equivalence
Kevin Aguyar Brix, Efren Ruiz
We introduce and study a unital version of shift equivalence for finite square matrices over the nonnegative integers. In contrast to the classical case, we show that unital shift…
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…