5 papers
Emergence of polymorphism in stochastic evolutionary games
Bill Nunn, Marcel Ortgiese, Tim Rogers
The paper studies how random demographic noise in finite populations can generate and maintain stable mixtures of pure strategies (polymorphism) in the Hawk‑Dove game, showing that…
Balancing innovation and assimilation in research communities
Bill Nunn, Maria Horner, Marcel Ortgiese +1
The paper introduces two interacting particle‑system models that capture how research communities balance creating new ideas with learning existing ones, showing that larger commun…
Origins of Instability in Dynamical Systems on Undirected Networks
Shraosi Dawn, Subrata Ghosh, Chandrakala Meena +2
Robustness to perturbation is a key topic in the study of complex systems occurring across a wide variety of applications from epidemiology to biochemistry. Here we analyze the eig…
The Brownian marble
Samuel G. G. Johnston, Andreas Kyprianou, Tim Rogers +1
Let be a measurable function. Consider coalescing Brownian motions started from every point in the subset of $[0,\inf…
Speed and shape of population fronts with density-dependent diffusion
Beth M. Stokes, Tim Rogers, Richard James
We investigate travelling wave solutions in reaction-diffusion models of animal range expansion in the case that population diffusion is density-dependent. We find that the speed o…