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math.DS2026
Rigid Functions, IP-Systems, and Topological Mild Mixing
Song Shao, Hui Xu
We study uniform rigidity and topological mild mixing through continuous observables. For a fixed sequence of times, the observables rigid along that sequence form a closed unital…
math.DS2026
Adherence Semigroups and Density Finite-Sums Configurations
Song Shao, Hui Xu
In this paper, we use the adherence semigroup to describe finite-sums configurations in topological dynamical systems. We establish a correspondence between exact finite sumsets an…