A weakly biased one-dimensional voter model interface converges in diffusive scaling to a measure-valued process whose boundary is a drifted Brownian motion with drift and diffusion set by the model's jump kernel.
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An invariance principle for biased voter model interfaces
A weakly biased one-dimensional voter model interface converges in diffusive scaling to a measure-valued process whose boundary is a drifted Brownian motion with drift and diffusion set by the model's jump kernel.