2 papers
math.DS2018
An Alpern tower independent of a given partition
J. T. Campbell, J. T. Collins, R. King +2
Given a measure-preserving transformation of a probability space and a finite measurable partition of , we show how to construct an Alpern tower of…
math.DS2012
Specifying attracting cycles for Newton maps of polynomials
James T. Campbell, Jared T. Collins
We show that for any set of n distinct points in the complex plane, there exists a polynomial p of degree at most n+1 so that the corresponding Newton map, or even the relaxed Newt…