3 papers
math.AP2025
Fractional hypocoercivity in bounded domains in the anomalous diffusion limit
Maxime Herda, Marc Pegon, Isabelle Tristani
In this paper, we provide quantitative stability results for several dissipative linear kinetic equations with heavy-tailed equilibria in different geometries. Moreover, the approa…
math.AP2019
Partial regularity for fractional harmonic maps into spheres
Vincent Millot, Marc Pegon, Armin Schikorra
This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order in arbitrary dimensions. It is shown that such f…
math.AP2019
Minimizing 1/2-harmonic maps into spheres
Vincent Millot, Marc Pegon
In this article, we improve the partial regularity theory for minimizing -harmonic maps in the case where the target manifold is the -dimensional sphere. For ,…