The proof establishes new conditions that cause connected oscillators to sway in sync. The post New Proof Shows That ‘Expander’ Graphs Synchronize first appeared on Quanta Magazine
Six years ago, Afonso Bandeira and Shuyang Ling were attempting to come up with a better way to discern clusters in enormous data sets when they stumbled into a surreal world. Ling realized that the equations they’d come up with were, unexpectedly, a perfect match for a mathematical model of spontaneous synchronization. Spontaneous synchronization is a phenomenon in which oscillators…