4 citations
2 papers
math.DS2014★ 2 cited
Limit and Morse Sets for Deterministic Hybrid Systems
Kimberly Ayers, Xavier Garcia, Jennifer Kunze +4
The term "hybrid system" refers to a continuous time dynamical system that undergoes Markovian perturbations at discrete time intervals. In this paper, we find that under the right…
math.CO2012★ 4 cited
Vertex Isoperimetric Inequalities for a Family of Graphs on Z^k
Ellen Veomett, A. J. Radcliffe
We consider the family of graphs whose vertex set is Z^k where two vertices are connected by an edge when their l\infty-distance is 1. We prove the optimal vertex isoperimetric ine…