3 citations · 7 across the 9 of their papers we have counts for
9 papers
The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale
Matthew Bolan, Joachim Breitner, Jose Brox +31
We report on the Equational Theories Project (ETP), an online collaborative pilot project to explore new ways to collaborate in mathematics with machine assistance. The project suc…
Rank-One Transformations, Odometers, and Finite Factors
Matthew Foreman, Su Gao, Aaron Hill +2
In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a given finite cyclic permutation, (…
An analysis of words coming from Chacon's transformation
Patrick Bell, Hunter Brumley, Aaron Hill +3
We analyze finite and infinite words coming from the symbolic version of Chacon's transformation, focusing on distances between such words. Our main result is that if W = 0010 0010…
Disjointness between bounded rank-one transformations
Su Gao, Aaron Hill
In this paper some sufficient conditions are given for when two bounded rank-one transformations are isomorphic or disjoint. For commensurate, canonically bounded rank-one transfor…
The inverse problem for canonically bounded rank-one transformations
Aaron Hill
Given the cutting and spacer parameters for a rank-1 transformation, there is a simple condition which is easily seen to be sufficient to guarantee that the transformation under co…
Bounded rank-one transformations
Su Gao, Aaron Hill
We define the notion of canonical boundedness among rank-one transformations and use it to characterize the class of all bounded rank-one transformations with trivial centralizer.…