35 citations · 113 across the 10 of their papers we have counts for
4 papers · 1 filter
Convexification in the limit and strong law of large numbers for closed-valued random sets in Banach spaces
Francesco S. de Blasi, Luca Tomassini
We prove a strong law of large numbers for random sets with bounded and closed values contained in an arbitrary (not necessarily separable) Banach space. We make use of a notion of…
Noncommutative geometry of the Moyal plane: translation isometries, Connes' distance on coherent states, Pythagoras equality
Pierre Martinetti, Luca Tomassini
We study the metric aspect of the Moyal plane from Connes' noncommutative geometry point of view. First, we compute Connes' spectral distance associated with the natural isometric…
Minimal length in quantum space and integrations of the line element in Noncommutative Geometry
Pierre Martinetti, Flavio Mercati, Luca Tomassini
We question the emergence of a minimal length in quantum spacetime, comparing two notions that appeared at various points in the literature: on the one side, the quantum length as…
Physically motivated uncertainty relations at the Planck length for an emergent non commutative spacetime
Luca Tomassini, Stefano Viaggiu
We derive new space-time uncertainty relations (STUR) at the fundamental Planck length from quantum mechanics and general relativity (GR), both in flat and curved backgrounds…