Tame systems and scrambled pairs under an Abelian group action
By Wen Huang. Ergodic Theory and Dynamical Systems, 2006
85 citations recorded by the source corpus.
Subfields: Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e3f14491c85b73b25c94e564b00807c991d73e49
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In Mathematical Physics
- Xiangdong Ye
- Wen Huang
- Eli Glasner
- Felipe Garc'ia-Ramos
- S. Shao
- Jian Li
- Michael Megrelishvili
- Tomasz Downarowicz
Citations in the corpus
- Infinite-step nilsystems, independence and complexity (2011, background): “Later on, the notions of sequence entropy pairs [20] and untame pairs (called scrambled pairs in [17]) were introduced.”
- Local entropy theory (2009, background): “The question of whether this conclusion is valid for minimal tame systems was answered, independently, by Huang [47] and Kerr and Li [74].”
- Weak forms of topological and measure-theoretical equicontinuity: relationships with discrete spectrum and sequence entropy (2014, background): “If G is an abelian group, then every minimal null G-TDS is almost automorphic (see [22, 23]).”
- Isomorphic extensions and applications (2015, background): “We believe that the reference to Weyl is more appropriate here. b. Huang, Lu and Ye [16] introduce a hybrid notion of µ-equicontinuity (of a topological system with a fixed invariant measure µ) and prove that this property implies discrete spectrum of (X,µ, T ).”
- Combinatorial lemmas and applications to dynamics (2009, background): “Null systems are studied in [13] and [16], see also [24,15].”
- Representations of dynamical systems on Banach spaces not containing $l_1$ (2008, result): “Further results concerning tame systems can be found in [28], [12], [13], [ 22 ], [27].”
- Independence in topological and C*-dynamics (2006, unknown): “1”