15 citations · 36 across the 21 of their papers we have counts for
25 papers
Local fields, iterated extensions, and Julia Sets
Pui Hang Lee, Michelle Manes, Nha Xuan Truong
Let be a field complete with respect to a discrete valuation of residue characteristic . For , let be the extension obtained by adjoining all iterated…
Dynamical Mahler Measure: A survey and some recent results
Annie Carter, Matilde Lalín, Michelle Manes +1
We study the dynamical Mahler measure of multivariate polynomials and present dynamical analogues of various results from the classical Mahler measure as well as examples of formul…
The Fibonacci Sequence is Normal Base 10
Brennan Benfield, Michelle Manes
In this paper, we show that the concatenation of the Fibonacci sequence is \textit{normal} in base , meaning every string of a given length, , occurs as frequently as every…
Two-variable polynomials with dynamical Mahler measure zero
Annie Carter, Matilde Lalín, Michelle Manes +2
We discuss several aspects of the dynamical Mahler measure for multivariate polynomials. We prove a weak dynamical version of Boyd--Lawton formula and we characterize the polynomia…
Some Applications of Dynamical Belyi Polynomials
Jacqueline Anderson, Michelle Manes, Bella Tobin
We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of quest…
Cubic post-critically finite polynomials defined over
Jacqueline Anderson, Michelle Manes, Bella Tobin
We describe and implement an algorithm to find all post-critically finite (PCF) cubic polynomials defined over , up to conjugacy over .…