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math.DS2026
Hereditary Lowerability of Topological Dynamical Systems
Xiaochen Wang
Let be a topological dynamical system and let denote the topological entropy of a compact set . We settle a question and a conjecture raised by Huang,…
math.DS2026
Lowering topological entropy over subsets for amenable group actions
Xiaochen Wang
In this paper, we introduce the notions of lowerable, D-lowerable, P-lowerable, hereditarily lowerable, and hereditarily uniformly lowerable for countably infinite amenable group a…