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math.MG2023
Higher rank inner products, Voronoi tilings and metric degenerations of tori
Omid Amini, Noema Nicolussi
We introduce higher rank inner products on real and complex vector spaces and study their corresponding Voronoi tilings. We use the framework to describe metric degenerations of po…
math.MG2018
Strong Isoperimetric Inequality for Tessellating Quantum Graphs
Noema Nicolussi
We investigate isoperimetric constants of infinite tessellating metric graphs. We introduce a curvature-like quantity, which plays the role of a metric graph analogue of discrete c…