73 citations · 116 across the 25 of their papers we have counts for
26 papers
Extension properties for partial permutations
Mahmood Etedadialiabad, Su Gao
Motivated by the EPPA problem for finite tournaments,we consider various extension properties for partial permutations. We show that for any set of prime numbers, the -exten…
Borel graphs generated by commuting functions
Su Gao, Xiangxi Hu, Jie Zou
In this paper we study Borel graphs generated by finitely many commuting Borel functions. We give a geometric analysis of the free part of such graphs based on marker sets and mark…
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…
The amalgamation property and Urysohn structures in continuous logic
Su Gao, Xuanzhi Ren
In this paper we consider the classes of all continuous -(pre-)structures for a continuous first-order signature . We characterize the moduli of continuit…
Sarnak's conjecture for rank-one subshifts
Mahmood Etedadialiabadi, Su Gao
Using techniques developed in \cite{KLR}, we verify Sarnak's conjecture for two classes of rank-one subshifts with unbounded cutting parameters. The first class of rank-one subshif…
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…