5 citations · 9 across the 6 of their papers we have counts for
10 papers · 1 filter
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…
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 .…
Dessins d'Enfants for Single-Cycle Belyi Maps
Michelle Manes, Gabrielle Melamed, Bella Tobin
Riemann's Existence Theorem gives the following bijections: (1) Isomorphism classes of Belyi maps of degree . (2) Equivalence classes of generating systems of degree . (3) Is…
An alternate proof of idempotent relations among periodic points and quotients
Xander Faber, Michelle Manes, Laura Walton
We give a short proof of an idempotent relation formula for counting periodic points of endomorphisms defined over finite fields. The original proof of this result, due to Walton,…
Current Trends and Open Problems in Arithmetic Dynamics
Robert Benedetto, Laura DeMarco, Patrick Ingram +4
Arithmetic dynamics is the study of number theoretic properties of dynamical systems. A relatively new field, it draws inspiration partly from dynamical analogues of theorems and c…