1 citations · 1 across the 3 of their papers we have counts for
4 papers
A second-moment proof of quenched equals annealed for the Potts model on random regular graphs
Remco van der Hofstad, Kai-Chun Huang, Noela Müller +1
Ferromagnetic spin models on random regular graphs, such as the Ising and Potts models, have been studied extensively. Several equivalent variational and recursive representations…
The asymptotic rank of adjacency matrices of weighted configuration models over arbitrary fields
Remco van der Hofstad, Noela Müller, Haodong Zhu
We study the asymptotic rank of adjacency matrices of a large class of edge-weighted configuration models. Here, the weight of a (multi-)edge can be any fixed non-zero element from…
Random -SAT: The set of atoms of the limiting empirical marginal distribution
Noela Müller, Ralph Neininger, Haodong Zhu
We show that the set of atoms of the limiting empirical marginal distribution in the random -SAT model is , for all clause-to-variable densities up to the…
Central limit theorem analogues for multicolour urn models
Noela Müller
The asymptotic behaviour of a generalised Pólya--Eggenberger urn is well--known to depend on the spectrum of its replacement matrix: If its dominant eigenvalue is simple and no…