2 papers
cond-mat.dis-nn2026
Local density of states distribution and multifractal eigenvectors of weighted random networks via the cavity approach
Joseph W. Baron, Tim Rogers
We study the local density of states (LDoS) distribution of a general class of weighted Erdős-Rényi graphs. Using the cavity method, we obtain a good approximation to the full LDoS…
math.PR2025
The replicator coalescent
A. E. Kyprianou, L. Peñaloza, T. Rogers
We consider a stochastic model, called the replicator coalescent, describing a system of blocks of different types which undergo pairwise mergers at rates depending on the bloc…