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math.PR2026
Random -regular graphs are not globally synchronizing
Ciro Carvallo, Pablo Groisman, Dieter Mitsche
We study the homogeneous Kuramoto model on random 3-regular graphs. A connected graph is globally synchronizing if, for almost every initial condition, the gradient flow conver…
math-ph2026
The tentacles landscape: geometric properties of high-dimensional basins of attraction
Pablo Groisman
Basins of attraction in multistable high dimensional dynamical systems are expected to have universal features but very little has been proved rigorously. We consider phase oscilla…