Branching stable processes and motion by mean curvature flow

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 exhibit long range dispersal. Our proof is purely probabilistic and takes inspiration from Etheridge et al. [30] to desc...

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Hlavní autoři: Becker, K, Etheridge, A, Letter, I
Médium: Journal article
Jazyk:English
Vydáno: Institute of Mathematical Statistics 2024