3 papers
math.NA2025
Noncommutative Laplacian and numerical approximation of Laplace-Beltrami spectrum of compact Riemann surfaces
Damien Tageddine, Jean-Christophe Nave
We derive a numerical approximation of the Laplace-Beltrami operator on compact surfaces embedded in with an axial symmetry. To do so we use a noncommutative Laplace…
math.FA2025
Noncommutative geometry on the Berkovich projective line
Masoud Khalkhali, Damien Tageddine
We construct several -algebras and spectral triples associated to the Berkovich projective line . In the commutative setting, we…
math.NA2025
Structure preserving discretization: A Berezin-Toeplitz Quantization viewpoint
Damien Tageddine, Jean-Christophe Nave
In this paper, we introduce a comprehensive axiomatization of structure-preserving discretization through the framework of commutative diagrams. By establishing a formal language t…