3 citations · 4 across the 7 of their papers we have counts for
7 papers
Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves
María Chara, Sam Kottler, Beth Malmskog +2
We construct families of locally recoverable codes with availability using fiber products of curves, determine the exact minimum distance of many families, and prove a ge…
Solving Quadratic and Cubic Diophantine Equations using 2-adic Valuation Trees
Maila Brucal-Hallare, Eva G. Goedhart, Ryan Max Riley +2
For fixed integers and , we demonstrate how to use -adic valuation trees of sequences to analyze Diophantine equations of the form and $x^3+D=2…
Density of Periodic Points for Lattès maps over Finite Fields
Zoë Bell, Jasmine Camero, Karina Cho +5
Let be the Lattès map associated to the multiplication-by- endomorphism of an elliptic curve defined over a finite field . We determine the density $δ(L_…
Arboreal representations for rational maps with few critical points
Jamie Juul, Holly Krieger, Nicole Looper +3
Jones conjectures the arboreal representation of a degree two rational map will have finite index in the full automorphism group of a binary rooted tree except under certain condit…
On the field of definition of a cubic rational function and its critical points
Xander Faber, Bianca Thompson
Using essentially only algebra, we give a proof that a cubic rational function over with real critical points is equivalent to a real rational function. We also show t…
Periodic points in towers of finite fields for polynomials associated to algebraic groups
Michelle Manes, Bianca Thompson
We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomia…
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-…