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math.DS2022
Exploring the electric field around a loop of static charge: Rectangles, stadiums, ellipses, and knots
Max Lipton, Steven H Strogatz, Alex Townsend
We study the electric field around a continuous one-dimensional loop of static charge, under the assumption that the charge is distributed uniformly along the loop. For rectangular…
math.DS2022★ 25 cited
A global synchronization theorem for oscillators on a random graph
Martin Kassabov, Steven H. Strogatz, Alex Townsend
Consider identical Kuramoto oscillators on a random graph. Specifically, consider \ER random graphs in which any two oscillators are bidirectionally coupled with unit strength,…