8 citations · 20 across the 22 of their papers we have counts for
25 papers
Spaces of polygonal triangulations and Monsky polynomials
Aaron Abrams, James Pommersheim
Given a combinatorial triangulation of an -gon, we study (a) the space of all possible drawings in the plane such the edges are straight line segments and the boundary has a fix…
An iterated random function with Lipschitz number one
Aaron Abrams, Henry Landau, Zeph Landau +2
Consider the set of functions on . Define a Markov process that starts with a point and continues with …
Evasive Random Walks and the Clairvoyant Demon
Aaron Abrams, Henry Landau, Zeph Landau +2
A pair of random walks on the vertices of a graph is {\it successful} if two tokens can be scheduled (moving only one token at a time) to travel along and witho…
Optimal estimators for threshold-based quality measures
Aaron Abrams, Sandy Ganzell, Henry Landau +3
We consider a problem in parametric estimation: given samples from an unknown distribution, we want to estimate which distribution, from a given one-parameter family, produced…
Integer Area Dissections of Lattice Polygons via a Non-Abelian Sperner's Lemma
Aaron Abrams, Jamie Pommersheim
We give a simple and complete description of those convex lattice polygons in the plane that can be dissected into lattice triangles of integer area. A new version of Sperner's Lem…
On Eigenvalue Gaps of Integer Matrices
Aaron Abrams, Zeph Landau, Jamie Pommersheim +1
Given an matrix with integer entries in the range , how close can two of its distinct eigenvalues be? The best previously known examples have a minimum gap of $…