Now showing items 1-6 of 6
Centrality and Network Analysis: A Perturbative Approach to Dynamical Importance
The purpose of this paper is to investigate methods for analyzing networks from an algebraic perspective. The main focus will be on the dominant eigenpair of the adjacency matrix representing a graph, as many diﬀerent ...
Noise Driven Transitions between Stable Equilibria in Stochastic Dynamical Systems
In this paper we examine two specific models of dynamical systems in which noise plays a central role. The first is a stochastic differential equation (SDE) modeling a particle in a potential well; the second is a simplified ...
A Model of the Foot and Ankle in Running
We present several variations on a model and simulation of the foot and ankle during the course of one running stride. We summarize the motivation behind the model and similar work in the field, then describe the model and ...
A Simple Cardiac Model Exhibiting Stationary Discordant Alternans
The term alternans refers to a period-doubling bifurcation that occurs in rapidly-paced cardiac cells: although all stimuli are equally spaced, short and long action potentials alternate with one another. Cardiac waves ...
Lattice point methods for combinatorial games
(Advances in Applied Mathematics, 2011-01-01)
We encode arbitrary finite impartial combinatorial games in terms of lattice points in rational convex polyhedra. Encodings provided by these lattice games can be made particularly efficient for octal games, which we generalize ...
Strategy and Effectiveness: An Analysis of Preferential Ballot Voting Methods
To provide insight on various voting systems, we study six election methods using three categories of analysis. First, we prove and discuss the various fundamental election properties satisfied by each method. Since the ...