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math.PR2025
The Supermarket Model on a Dynamic Regular Hypergraph
John Fernley, Balázs Gerencsér
The supermarket model is a system of queues each with serving rates and arrival rates per vertex, where tasks will move on arrival to the shortest adjacent queue. We co…
math.PR2025
The Second Phase Transition of the Contact Process on a Random Regular Graph
John Fernley
The regular tree corresponds to the random regular graph as its local limit. For this reason the famous double phase transition of the contact process on regular tree has been seen…