92 citations · 395 across the 40 of their papers we have counts for
4 papers · 1 filter
Bethe states of random factor graphs
Amin Coja-Oghlan, Will Perkins
We verify a key component of the replica symmetry breaking hypothesis put forward in the physics literature [Mézard and Montanari 2009] on random factor graph models. For a broad c…
On the hard sphere model and sphere packings in high dimensions
Matthew Jenssen, Felix Joos, Will Perkins
We prove a lower bound on the entropy of sphere packings of of density . The entropy measures how plentiful such packings are, and our result is si…
Tight bounds on the coefficients of partition functions via stability
Ewan Davies, Matthew Jenssen, Will Perkins +1
Partition functions arise in statistical physics and probability theory as the normalizing constant of Gibbs measures and in combinatorics and graph theory as graph polynomials. Fo…
Large Deviations for the Empirical Distribution in the General Branching Random Walk
Oren Louidor, Eliad Tsairi
We consider the general branching random walk under minimal assumptions, which in particular guarantee that the empirical particle distribution admits an almost sure central limit…