18 citations · 26 across the 3 of their papers we have counts for
3 papers
math.CO2023★ 6 cited
A guide to Penrose tilings
Francesco D'Andrea
The aim of this book is to provide an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the `70s. Th…
math-ph2014★ 2 cited
Deformations of the Canonical Commutation Relations and Metric Structures
Francesco D'andrea, Fedele Lizzi, Pierre Martinetti
Using Connes distance formula in noncommutative geometry, it is possible to retrieve the Euclidean distance from the canonical commutation relations of quantum mechanics. In this n…
math-ph2012★ 18 cited
On Pythagoras' theorem for products of spectral triples
Francesco D'Andrea, Pierre Martinetti
We discuss a version of Pythagoras theorem in noncommutative geometry. Usual Pythagoras theorem can be formulated in terms of Connes' distance, between pure states, in the product…