From the 1 of 4 linked papers with an AI index.
5 papers · 1 filter
On the denseness of distal points
Su Gao, Hanfeng Li, Ruiwen Li
The paper answers a question about when distal points are dense in the Bernoulli shift over a countable discrete group, characterizes groups for which almost automorphic points beh…
Orbit equivalence of Cantor minimal systems
Su Gao, Ruiwen Li, Yiming Sun
In this paper we study the descriptive complexity of the topological orbit equvalence relation for some Borel classes of Cantor minimal systems. Specifically, we study the Borel cl…
Toeplitz subshifts of finite rank
Su Gao, Ruiwen Li, Bo Peng +1
In this paper we study some basic problems about Toeplitz subshifts of finite topological rank. We define the notion of a strong Toeplitz subshift of finite rank by combining t…
On finite spacer rank for words and subshifts
Su Gao, Liza Jacoby, William Johnson +4
We define a notion of rank for words and subshifts that we call spacer rank, extending the notion of rank-one symbolic shifts of Gao and Hill. We construct infinite words of each f…
Subshifts of finite symbolic rank
Su Gao, Ruiwen Li
The definition of subshifts of finite symbolic rank is motivated by the finite rank measure-preserving transformations which have been extensively studied in ergodic theory. In thi…