Conjugacy classes of weakly mixing systems

Heman Fu, Jincheng Xiong and Huoyun Wang

Chaos, Solitons & Fractals, 2014, vol. 59, issue C, 99-102

Abstract: In this paper, we obtain a hierarchy of M‾(1)-transitive systems via Furstenberg families, and then show that there exist uncountably many conjugacy classes for weakly mixing systems. Concrete examples of dynamical systems are equipped for distinguishing different levels of M‾(1)-transitivity.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:59:y:2014:i:c:p:99-102

DOI: 10.1016/j.chaos.2013.12.002

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