3 citations · 5 across the 9 of their papers we have counts for
5 papers · 1 filter
A semi-discrete scheme for horizontal mean curvature flow in the Heisenberg group
A. 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 sch…
The rhombic dodecahedral conjecture
Annalisa Cesaroni, Matteo Novaga
We prove that every three-dimensional parallelohedron satisfies \[ \mathcal H^2(\partial P)\ge 12\sqrt2\,r(P)^2, \] where is the inradius of , with equality if and on…
The truncated octahedron minimizes surface area among parallelohedra of equal volume
Annalisa Cesaroni, Matteo Novaga
We prove that the regular truncated octahedron uniquely minimizes surface area among all parallelohedra of fixed volume. Equivalently, every three-dimensional parallelohedron s…
Local minimality of the truncated octahedron for the isoperimetric problem on parallelohedra
Annalisa Cesaroni, Matteo Novaga
We investigate the isoperimetric problem for the Voronoi cells of three-dimensional lattices. Using Selling parameters, we derive an explicit closed formula for the scale-invariant…
Non-local planelike minimizers and -convergence of periodic energies to a local anisotropic perimeter
Serena Dipierro, Matteo Novaga, Enrico Valdinoci +1
We investigate a homogenization problem related to a non-local interface energy with a periodic forcing term. We show the existence of planelike minimizers for such energy. Moreove…