64 citations · 235 across the 17 of their papers we have counts for
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math.DS2020★ 43 cited
Consensus on simplicial complexes, or: The nonlinear simplicial Laplacian
Lee DeVille
We consider a nonlinear flow on simplicial complexes related to the simplicial Laplacian, and show that it is a generalization of various consensus and synchronization models commo…
math.DS2020★ 9 cited
Synchronization conditions in the Kuramoto model and their relationship to seminorms
Jared C. Bronski, Thomas E. Carty, Lee DeVille
In this paper we address two questions about the synchronization of coupled oscillators in the Kuramoto model with all-to-all coupling. In the first part we use some classical resu…