Ergodicity Space for Measure-Preserving Transformations | Zendy

M. Rahimi | Zendy; Amir Assari | Zendy

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Ergodicity Space for Measure-Preserving Transformations

Author(s) -

M. Rahimi,

Amir Assari

Publication year - 2016

Publication title -

chinese journal of mathematics

Language(s) - English

Resource type - Journals

ISSN - 2314-8071

DOI - 10.1155/2016/6274839

Subject(s) - ergodicity , measure (data warehouse) , mathematics , transformation (genetics) , conjugacy class , space (punctuation) , dynamical systems theory , algebraic number , ergodic theory , pure mathematics , mathematical analysis , computer science , physics , statistics , biochemistry , chemistry , quantum mechanics , database , gene , operating system

We introduce the concept of ergodicity space of a measure-preserving transformation and will present some of its properties as an algebraic weight for measuring the size of the ergodicity of a measure-preserving transformation. We will also prove the invariance of the ergodicity space under conjugacy of dynamical systems

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