3 papers
math.MG2026
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…
math.OC2025
On the structure of optimal solutions of conservation laws at a junction with one incoming and one outgoing arc
Fabio Ancona, Annalisa Cesaroni, Giuseppe Maria Coclite +1
We consider a min-max problem for strictly concave conservation laws on a 1-1 network, with inflow controls acting at the junction. We investigate the minimization problem for a fu…
math.AP2025
A note on the honeycomb optimality among periodic convex tilings
Annalisa Cesaroni, Ilaria FragalÃ, Matteo Novaga
We show that the hexagonal honeycomb is optimal among convex periodic tessellations of the plane, provided the cost functional is lower semicontinuous with respect to the Hausdorff…