64 citations · 235 across the 17 of their papers we have counts for
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Finite-size effects and switching times for Moran dynamics with mutation
Lee DeVille, Meghan Galiardi
We consider the Moran process with two populations competing under an iterated Prisoners' Dilemma in the presence of mutation, and concentrate on the case where there are multiple…
Phase-locked Patterns of the Kuramoto Model on 3-Regular Graphs
Lee DeVille, Bard Ermentrout
We consider the existence of non-synchronized fixed points to the Kuramoto model defined on sparse networks: specifically, networks where each vertex has degree exactly three. We s…
Graph Homology and Stability of Coupled Oscillator Networks
Jared C. Bronski, Lee DeVille, Timothy Ferguson
There are a number of models of coupled oscillator networks where the question of the stability of fixed points reduces to calculating the index of a graph Laplacian. Some examples…
The spectral index of signed Laplacians and their structural stability
Jared Bronski, Lee DeVille, K. Paolina Koutsaki
Given a graph Laplacian with positively and negatively weighted edges we are interested in characterizing the set of weights that give a particular spectral index, i.e.~give a pres…