38 citations · 88 across the 10 of their papers we have counts for
10 papers
Rescaling the spatial lambda Fleming-Viot process and convergence to super-Brownian motion
J. Theodore Cox, Edwin A. Perkins
We show that a space-time rescaling of the spatial Lamba-Fleming-Viot process of Barton and Etheridge converges to super-Brownian motion. This can be viewed as an extension of a re…
Weak atomic convergence of finite voter models toward Fleming-Viot processes
Yu-Ting Chen, J. Theodore Cox
We consider the empirical measures of multi-type voter models with mutation on large finite sets, and prove their weak atomic convergence in the sense of Ethier and Kurtz (1994) to…
Evolutionary Games on the Torus with Weak Selection
J. T. Cox, Rick Durrett
We study evolutionary games on the torus with points in dimensions . The matrices have the form , where is a matrix that consists of a…
Cutoff for the noisy voter model
J. Theodore Cox, Yuval Peres, Jeffrey E. Steif
Given a continuous time Markov Chain on a finite set , the associated noisy voter model is the continuous time Markov chain on , which evolves in the fol…
On the convergence of densities of finite voter models to the Wright-Fisher diffusion
Yu-Ting Chen, Jihyeok Choi, J. Theodore Cox
We study voter models defined on large sets. Through a perspective emphasizing the martingale property of voter density processes, we prove that in general, their convergence to th…
A complete convergence theorem for voter model perturbations
J. Theodore Cox, Edwin A. Perkins
We prove a complete convergence theorem for a class of symmetric voter model perturbations with annihilating duals. A special case of interest covered by our results is the stochas…