9 citations · 14 across the 6 of their papers we have counts for
8 papers
On a Slice of the Cubic 2-adic Mandelbrot Set
Jacqueline Anderson, Emerald Stacy, Bella Tobin
Consider the one-parameter family of cubic polynomials defined by . This family corresponds to a slice of the parameter space…
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 .…
Positional Voting and Doubly Stochastic Matrices
Jacqueline Anderson, Brian Camara, John Pike
We provide elementary proofs of several results concerning the possible outcomes arising from a fixed profile within the class of positional voting systems. Our arguments enable a…
Dynamical Belyi maps
Jacqueline Anderson, Irene Bouw, Ozlem Ejder +3
We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conserv…
Local arboreal representations
Jacqueline Anderson, Spencer Hamblen, Bjorn Poonen +1
Let be a field complete with respect to a discrete valuation of residue characteristic . Let be a separable polynomial of the form Given $a \…
Comparing arithmetic intersection formulas for denominators of Igusa class polynomials
Jacqueline Anderson, Jennifer S. Balakrishnan, Kristin Lauter +2
Bruinier and Yang conjectured a formula for intersection numbers on an arithmetic Hilbert modular surface, and as a consequence obtained a conjectural formula for CM(K).G_1 under s…
Bounds on the radius of the p-adic Mandelbrot set
Jacqueline Anderson
Let f be a degree d polynomial defined over the nonarchimedean field C_p, normalized so f is monic and f(0)=0. We say f is post-critically bounded, or PCB, if all of its critical p…