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5 papers · 2 filters
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…
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…
Norm of matrix-valued polynomials in random unitaries and permutations
Charles Bordenave, Benoit Collins
We consider a non-commutative polynomial in several independent -dimensional random unitary matrices, uniformly distributed over the unitary, orthogonal or symmetric groups, and…
PDE model for multi-patch epidemic models with migration and infection-age dependent infectivity
Guodong Pang, Etienne Pardoux
We study a stochastic epidemic model with multiple patches (locations), where individuals in each patch are categorized into three compartments, Susceptible, Infected and Recovered…
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…