11 papers
A Million-dollar Proof
Aaron Abrams
We present a new twist on an old identity.
Configuration Spaces of Colored Graphs
Aaron Abrams
This paper is intended to provide concrete examples of concepts discussed elsewhere in this volume, especially splittings of groups and non-positively curved cube complexes but als…
Finding good bets in the lottery, and why you shouldn't take them
Aaron Abrams, Skip Garibaldi
We give a criterion under which the expected return on a ticket for certain large lotteries is positive. In this circumstance, we use elementary portfolio analysis to show that an…
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 $x_{k+1}=f_{θ_{k+1}}(x_{k}…
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…