148 citations · 1.3k across the 42 of their papers we have counts for
47 papers
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…
Stay in your lane: Density fluctuations in multi-lane traffic
Jeremy Worsfold, Tim Rogers
When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place…
Binary synchronization of noise-coupled oscillators
Jeremy Worsfold, Tim Rogers
After decades of study, there are only two known mechanisms to induce global synchronization in a population of oscillators: deterministic coupling and common forcing. The inclusio…
Assisted percolation of slow-spreading mutants in heterogeneous environments
Thomas Tunstall, Tim Rogers, Wolfram Möbius
Environmental heterogeneity can drive genetic heterogeneity in expanding populations; mutant strains may emerge that trade overall growth rate for an improved ability to survive in…
Stochastic drift in discrete waves of non-locally interacting-particles
Andrei Sontag, Tim Rogers, Christian A. Yates
In this paper, we investigate a generalised model of particles undergoing second-order non-local interactions on a lattice. Our results have applications across many research a…
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…