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Long-time behaviour of the discrete volume-preserving fractional mean curvature flow

Speaker: 
Anna Kubin
Institution: 
POLITO
Schedule: 
Friday, May 26, 2023 - 14:00 to 15:00
Location: 
A-133
Abstract: 

In this talk, we analyze the asymptotic of a time-discrete approximation of the volume preserving fractional mean curvature flow.
More precisely, we prove that the discrete flow starting from any bounded set of finite fractional perimeter converges exponentially fast to a single ball when the dimension N ≤ 7 and the fractional exponent s ≈ 1, or for any s ∈ (0,1) when N=2.
As an intermediate result we show a fractional quantitative Alexandrov-type estimate for normal deformations of a ball.

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