In terms of sub-shifts of finite type determined by an irreducible matrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

 
  • 指出對于由不可約方陣所決定的符號空間有限型子轉移而言,或緊致交換群的仿射變換及樹(shù)上連續自映射而言,拓撲遍歷與拓撲可遷這兩個(gè)概念是一致的。
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