5 papers
On regulated partitions
Su Gao, Steve Jackson
This paper considers the combinatorics of continuous and Borel rectangular partitions of free actions of on -dimensional Polish spaces, specifically the free part…
Borel Combinatorics of Schreier Graphs of -actions
Su Gao, Yingying Jiang, Tianhao Wang
In this paper we consider the Borel combinatorics of Schreier graphs of -actions with arbitrary finite generating sets. We focus mostly on the problem of computing the…
Strong marker sets and applications
Su Gao, Tianhao Wang
We prove the existence of clopen marker sets with some strong regularity property. For each and any integer , we show that there are a positive integer and a…
Continuous Edge Chromatic Numbers of Abelian Group Actions
Su Gao, Ruijun Wang, Tianhao Wang
We prove that for any generating set of , the continuous edge chromatic number of the Schreier graph of the Bernoulli shift action is $…
Self-Similar Structure of - and Biperiodic Fibonacci Words
Darby Bortz, Nicholas Cummings, Suyi Gao +4
Defining the biperiodic Fibonacci words as a class of words over the alphabet , and two specializations the Fibonacci and classical Fibonacci words, we provide a self-…