1 citations · 3 across the 10 of their papers we have counts for
5 papers · 1 filter
Potential-weighted connective constants and uniqueness of Gibbs measures
Marcus Michelen, Will Perkins
We define a potential-weighted connective constant that measures the effective strength of a repulsive pair potential of a Gibbs point process modulated by the geometry of the unde…
Frozen -RSB structure of the symmetric Ising perceptron
Will Perkins, Changji Xu
We prove, under an assumption on the critical points of a real-valued function, that the symmetric Ising perceptron exhibits the `frozen 1-RSB' structure conjectured by Krauth and…
Spin systems on Bethe lattices
Amin Coja-Oghlan, Will Perkins
In an extremely influential paper Mezard and Parisi put forward an analytic but non-rigorous approach called the cavity method for studying spin systems on the Bethe lattice, i.e.,…
Belief Propagation on replica symmetric random factor graph models
Amin Coja-Oghlan, Will Perkins
According to physics predictions, the free energy of random factor graph models that satisfy a certain "static replica symmetry" condition can be calculated via the Belief Propagat…
Large Deviations for the Empirical Distribution in the Branching Random Walk
Oren Louidor, Will Perkins
We consider the branching random walk on the real line where the underlying motion is of a simple random walk and branching is at least binary and at most decaying exponentially in…