15 citations · 36 across the 21 of their papers we have counts for
4 papers · 1 filter
A census of quadratic post-critically finite rational maps defined over Q
David Lukas, Michelle Manes, Diane Yap
We find all quadratic post-critically finite (PCF) rational maps defined over the rationals. We describe an algorithm to search for possibly PCF maps. Using the algorithm, we elimi…
Mahler measure of some singular K3-surfaces
Marie-Jose Bertin, Amy Feaver, Jenny Fuselier +2
We study the Mahler measure of the three-variable Laurent polynomial x + 1/x + y + 1/y + z + 1/z - k where k is a parameter. The zeros of this polynomial define (after desingulariz…
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-…
Computing conjugating sets and automorphism groups of rational functions
Xander Faber, Michelle Manes, Bianca Viray
Let phi and psi be endomorphisms of the projective line of degree at least 2, defined over a noetherian commutative ring R with unity. From a dynamical perspective, a significant q…