https://neckpinch.com/authors/paola-pozzi/New arXiv papers by Paola Pozzi, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2610.20054/arxiv:2610.20054Wed, 14 Oct 2026 00:00:00 GMTA. Cesaroni, M. Novaga, P. Pozzi — The horizontal mean curvature flow is a geometric evolution associated with the horizontal perimeter in sub-Riemannian spaces. In this paper, we introduce a minimizing movement scheme for this flow in the first Heisenberg group ℍ, and prove the existence of a flat flow which is locally 1/2-Hölder continuous in time, with respect to the L¹-distance. The construction applies to arbitrary bounded sets of finite horizontal perimeter and does not require smoothness or symmetry of the initial datum.Mean curvature flowWeak & singular flows https://neckpinch.com/papers/2310.05596/arxiv:2310.05596Mon, 09 Oct 2023 00:00:00 GMTMichael Gößwein, Matteo Novaga, Paola Pozzi — In this article we study the anisotropic curve shortening flow for a planar network of three curves with fixed endpoints and which meet in a triple junction. We show that the anisotropic curvature energy fulfills a Lojasiewicz-Simon gradient inequality and use this knowledge to derive stability results for the flow. Precisely, in our main theorem we show that for any initial data, which are C^(2,α)-close to a (local) energy minimizer, the flow exists globally and converges to a possibly different energy minimum.Curve shorteningAnisotropic & nonlocal flowsStability & uniquenessPhase fields & multiphase flows