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math.PR2023
Branching stable processes and motion by mean curvature flow
Kimberly Becker, Alison Etheridge, Ian Letter
We prove a new result relating solutions of the scaled fractional Allen--Cahn equation to motion by mean curvature flow, motivated by the motion of hybrid zones in populations that…
math.PR2023
Looking forwards and backwards: dynamics and genealogies of locally regulated populations
Alison M. Etheridge, Thomas G. Kurtz, Ian Letter +2
We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure,…