2 citations · 3 across the 15 of their papers we have counts for
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Planar lamplighter is not of negative type
Gioacchino Antonelli, Emanuele Caputo, Nicola Cavallucci +3
The lamplighter group over the planar integer grid is proved to not be bi-Lipschitz equivalent to any metric space of negative type, so in particular it does not admit a bi-Lipschi…
Sobolev-to-Lipschitz property of geodesically complete spaces with curvature bounded from above
Emanuele Caputo, Nicola Cavallucci, Toni Ikonen
We prove that every length space with curvature bounded from above that is geodesically complete has the Sobolev-to-Lipschitz property with exponent infinity. That is, every Sobole…
Quantum thermodynamics and semidefinite programming: regularization and algorithms
Emanuele Caputo, Augusto Gerolin, Nataliia Monina +2
We investigate variational problems in quantum thermodynamics at positive temperature, in which admissible states are constrained by prescribed outcomes of a finite set of measurem…