19 citations · 29 across the 5 of their papers we have counts for
4 papers · 1 filter
Möbius disjointness for topological models of ergodic systems with discrete spectrum
Wen Huang, Zhiren Wang, Guohua Zhang
We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Möbius Disjointness Conjecture. As a direct application, we have that the conjecture h…
Nil Bohr-sets and almost automorphy of higher order
Wen Huang, Song Shao, Xiangdong Ye
Two closely related topics: higher order Bohr sets and higher order almost automorphy are investigated in this paper. Both of them are related to nilsystems. In the first part, the…
Affine embeddings and intersections of Cantor sets
De-Jun Feng, Wen Huang, Hui Rao
Let be two self-similar sets. Under mild conditions, we show that can be -embedded into if and only if it can be affinely embedded into ; further…
Local entropy theory for a countable discrete amenable group action
Wen Huang, Xiangdong Ye, Guohua Zhang
In the paper we throw the first light on studying systematically the local entropy theory for a countable discrete amenable group action. For such an action, we introduce entropy t…