dynamical embedding
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scholarly journals Conditional mean dimension

2021 ◽  
pp. 1-15
Author(s):  
BINGBING LIANG
Keyword(s):  
Dynamical Systems ◽  
Conditional Mean ◽  
Extension System ◽  
Mean Dimension ◽  
Factor Map ◽  
The Mean ◽  
Topological Dynamical Systems ◽  
Dynamical Embedding

Abstract We introduce some notions of conditional mean dimension for a factor map between two topological dynamical systems and discuss their properties. With the help of these notions, we obtain an inequality to estimate the mean dimension of an extension system. The conditional mean dimension for G-extensions is computed. We also exhibit some applications in dynamical embedding problems.

scholarly journals A Lipschitz Refinement of the Bebutov–Kakutani Dynamical Embedding Theorem

2018 ◽  
Vol 31 (1) ◽  
pp. 81-91
Author(s):  
Yonatan Gutman ◽  
Lei Jin ◽  
Masaki Tsukamoto
Keyword(s):  
Embedding Theorem ◽  
Dynamical Embedding
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