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math.AP2025
Inverse curvature flow of closed Legendre curves
Takashi Kagaya, Masatomo Takahashi
In this paper, we deal with an inverse curvature flow of -convex Legendre curves. Since the Legendre curve is a natural generalization of regular curve, the flow is a general…
math.AP2024
Sharp interface limit for a quasi-linear large deviation rate function
Takashi Kagaya, Kenkichi Tsunoda
We discuss the sharp interface limit, leading to a mean curvature flow energy, for the rate function of the large deviation principle of a Glauber+Kawasaki process with speed chang…