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math.AP2022
A note on the capacity estimate in metastability for generic configurations
Benny Avelin, Vesa Julin
In this paper we further develop the ideas from Geometric Function Theory initially introduced in [arXiv:2206.13206], to derive capacity estimate in metastability for arbitrary con…
math.AP2022
Geometric Characterization of the Eyring-Kramers Formula
Benny Avelin, Vesa Julin, Lauri Viitasaari
In this paper we consider the mean transition time of an over-damped Brownian particle between local minima of a smooth potential. When the minima and saddles are non-degenerate th…
math.AP2022
Consistency of the flat flow solution to the volume preserving mean curvature flow
Vesa Julin, Joonas Niinikoski
We consider the flat flow solution, obtained via discrete minimizing movement scheme, to the volume preserving mean curvature flow starting from C^{1,1}-regular set. We prove the c…