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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 -perimeter. For a rectangular lattice , we compute explicitly the $(G,\ell_1…
math.AP2026
Optimal sets for a geometric oscillation energy
Matteo Novaga, Fumihiko Onoue, Emanuele Paolini
We investigate the nonlocal energy corresponding to the -oscillation of the unit normal vector for hypersurfaces, or the unit tangent vector for curves. The energy satisfies geo…