3 citations · 6 across the 6 of their papers we have counts for
6 papers
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…
Insufficiency of the Brauer-Manin obstruction for Enriques surfaces
Francesca Balestrieri, Jennifer Berg, Michelle Manes +2
In 2011, Vàrilly-Alvarado and the last author constructed an Enriques surface over with an étale-Brauer obstruction to the Hasse principle and no algebraic Brauer-…
Bad reduction of genus curves with complex multiplication
Irene Bouw, Jenny Cooley, Kristin Lauter +4
Let be a smooth, absolutely irreducible genus- curve over a number field . Suppose that the Jacobian of has complex multiplication by a sextic CM-field . Suppose f…
Uniform bounds for pre-periodic points in families of twists
Alon Levy, Michelle Manes, Bianca Thompson
Let phi be a morphism of projective N-space defined over a number field K. We prove that there is a bound B depending only on phi such that every twist of phi has no more than B K-…
Explicit Descriptions of Quadratic Maps on $\pp^1$ defined over a field
Michelle Manes, Yu Yasufuku
We describe an explicit parameter space for the set of all quadratic rational maps on $\pp^1$ defined over a field , up to conjugacy over .