Showing 2024Show all
2 papers · 1 filter
math.PR2024
Scaling Limit of the Kuramoto Model on Random Geometric Graphs
Francisco Cirelli, Pablo Groisman, Ruojun Huang +1
We consider the Kuramoto model on a graph with nodes given by i.i.d. points uniformly distributed on the dimensional torus. Two nodes are declared neighbors if they are at…
math.PR2024
The energy landscape of the Kuramoto model in random geometric graphs in a circle
Cecilia De Vita, Julián Fernández Bonder, Pablo Groisman
We study the energy function of the Kuramoto model in random geometric graphs defined in the unit circle as the number of nodes diverges. We prove the existence of at least one loc…