109 citations · 712 across the 45 of their papers we have counts for
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hep-th2009★ 51 cited
The spectral distance on the Moyal plane
Eric Cagnache, Francesco D'Andrea, Pierre Martinetti +1
We study the noncommutative geometry of the Moyal plane from a metric point of view. Starting from a non compact spectral triple based on the Moyal deformation A of the algebra of…
math.OA2009★ 32 cited
A View on Optimal Transport from Noncommutative Geometry
Francesco D'Andrea, Pierre Martinetti
We discuss the relation between the Wasserstein distance of order 1 between probability distributions on a metric space, arising in the study of Monge-Kantorovich transport problem…
gr-qc2009★ 10 cited
Line element in quantum gravity: the examples of DSR and noncommutative geometry
Pierre Martinetti
We question the notion of line element in some quantum spaces that are expected to play a role in quantum gravity, namely non-commutative deformations of Minkowski spaces. We recal…