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Showing 2023 · math.PRShow all
3 papers · 2 filters
math.PR2023
The contact process on dynamic regular graphs: monotonicity and subcritical phase
Bruno Schapira, Daniel Valesin
We study the contact process on a dynamic random~-regular graph with an edge-switching mechanism, as well as an interacting particle system that arises from the local descriptio…
math.PR2023
Emergence of near-TAP free energy functional in the SK model at high temperature
Véronique Gayrard
We study the SK model at inverse temperature and strictly positive field in the region of where the replica-symmetric formula is valid. An integral representati…
math.PR2023
Branching capacity of a random walk range
Bruno Schapira
We consider the branching capacity of the range of a simple random walk on , with , and show that it falls in the same universality class as the volume and th…