ergodic group 中文意思是什麼
ergodic group
解釋
遍歷群, 各態歷經的群-
We find a simple relation between the maximal ergodic subgroup and distal properties of algebraic actions and characterize the distal properties of zd algebraic actions. we also prove that if the group action is equicontinuous then ergodicity and topological transitivity are equivalent
討論了離散群在緊群上代數作用的極大遍歷子群與distal性質的關系；給出了z ~ d代數作用的distal性質的刻畫；證明了離散群等度連續作用下，遍歷與拓撲可遷等價。 -
In chapter 4, we consider the ergodic properties of group actions
第四章，考慮離散群作用的遍歷性問題。 -
Subsequently we analyze the isomorphism relationship between ergodic matrices and the corresponding permutation group. by defining the permutation symbol operation system of ergodic matrices, we constructed a union form to express all existed permutation algorithms
通過在理論上分析遍歷矩陣和置換群的同構關系，定義了遍歷矩陣對應的置換運算和符號體系，再統一的框架下表達各種圖像置亂變換。 -
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上連續自映射而言，拓撲遍歷與拓撲可遷這兩個概念是一致的。
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