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math.DS2026
Dynamical dimension and shift embeddability without the marker property
Ruxi Shi
We study the aperiodic inverse-limit system constructed in our earlier work as an example of a finite-mean-dimensional dynamical system without the marker property. We prove that i…
math.DS2026
A variational principle for metric mean dimension via lower Brin-Katok local entropy
Ruxi Shi
We prove a finite-scale comparison between lower Brin-Katok local entropy and Katok covering entropy. Let be a compact metric topological dynamical system and l…