2 papers
math.DS2024
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…
math.DS2024
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…