https://neckpinch.com/authors/annalisa-cesaroni/New arXiv papers by Annalisa Cesaroni, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2610.20054arxiv: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://arxiv.org/abs/2204.04923arxiv:2204.04923Mon, 11 Apr 2022 00:00:00 GMTAnnalisa Cesaroni, Matteo Novaga — We consider the volume constrained fractional mean curvature flow of a nearly spherical set, and prove long time existence and asymptotic convergence to a ball. The result applies in particular to convex initial data, under the assumption of global existence. Similarly, we show exponential convergence to a constant for the fractional mean curvature flow of a periodic graph.Mean curvature flowAnisotropic & nonlocal flowsStability & uniquenessLong-time existence & convergence https://arxiv.org/abs/2107.12082arxiv:2107.12082Mon, 26 Jul 2021 00:00:00 GMTAnnalisa Cesaroni, Heiko Kroener, Matteo Novaga — In this paper we discuss existence, uniqueness and some properties of a class of solitons to the anisotropic mean curvature flow, i.e., graphical translators, either in the plane or under an assumption of cylindrical symmetry on the anisotropy and the mobility. In these cases, the equation becomes an ordinary differential equation, and this allows to find explicitly the translators and describe their main features.Mean curvature flowAnisotropic & nonlocal flowsSelf-shrinkers & translatorsStability & uniqueness