Matteo Novaga

activity

20232026

collaborators

8 papers

math.MG2026

The isoperimetric problem for four-dimensional parallelohedra

Matteo Novaga, Lark Song

The honeycomb and Kelvin problems ask how space can be partitioned into cells of equal volume with the least surface area. We resolve this question in four dimensions for convex bo…

math.AP2026

Anisotropic isoperimetric double tilings of the plane

Francesco Nobili, Matteo Novaga, Emanuele Paolini

We study periodic partitions of the plane into two distinct cells minimizing the anisotropic $ℓ_{1}$ -perimeter. For a rectangular lattice $G$ , we compute explicitly the $(G,\ell_1…

math.CO2026

On the independence number of de Bruijn graphs

Pietro Majer, Matteo Novaga

We derive the asymptotic formula $α (k, q) = λ_{k - 1} q^{k} + o (q^{k})$ , where $α (k, q)$ is the independence number of the de Bruijn graph $B (k, q)$ , and $λ_{k - 1}$ is a constant arising from a v…

math.AP2026

Optimal sets for a geometric oscillation energy

Matteo Novaga, Fumihiko Onoue, Emanuele Paolini

We investigate the nonlocal energy corresponding to the $p$ -oscillation of the unit normal vector for hypersurfaces, or the unit tangent vector for curves. The energy satisfies geo…

math.AP2025

Existence of a non-standard isoperimetric triple partition

Matteo Novaga, Emanuele Paolini, Vincenzo Maria Tortorelli

We show existence of a isoperimetric $3$ -partition of $R^{8}$ , with one set of finite volume and two of infinite volume, which is asymptotic to a singular minimal cone.

math.MG2025

Periodic double tilings of the plane

Francesco Nobili, Matteo Novaga, Emanuele Paolini

We study tilings of the plane composed of two repeating tiles of different assigned areas relative to an arbitrary periodic lattice. We classify isoperimetric configurations (i.e.,…

math.MG2024

On the total surface area of potato packings

Matteo Novaga, Emanuele Paolini, Eugene Stepanov

We prove that if we fill without gaps a bag with infinitely many potatoes, in such a way that they touch each other in few points, then the total surface area of the potatoes must…

math.AP2023

Locally isoperimetric partitions

Matteo Novaga, Emanuele Paolini, Vincenzo Maria Tortorelli

Locally isoperimetric $N$ -partitions are partitions of the space $R^{d}$ into $N$ regions with prescribed, finite or infinite measure, which have minimal perimeter (which is…