98 citations
- Laboratoire de Mathématiques Blaise PascalFR58 papers
- Université de Reims Champagne-ArdenneFR54 papers
- Centre National de la Recherche ScientifiqueFR51 papers
- Institut Denis PoissonFR10 papers
- Université de ToursFR10 papers
- Université d'OrléansFR10 papers
- University of InsubriaIT7 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR6 papers
- Sorbonne UniversitéFR6 papers
- Université de MontréalCA5 papers
- Centre de Physique ThéoriqueFR4 papers
- Centre de recherches mathématiquesCA4 papers
128 papers
On -deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Sam Evans, Perrine Jouteur, Sophie Morier-Genoud +1
We consider a natural -deformation of the classical Markov numbers. This -deformation is closely related to -deformed rational numbers recently introduced by two of us. Bo…
Symmetric hyperbolic systems and shock waves
Satyanad Kichenassamy
The theory of symmetric-hyperbolic systems is useful for constructing smooth solutions of nonlinear wave equations, and for studying their singularities, including shock waves. We…
Wave Mechanics and C-equivalence
Satyanad Kichenassamy
We establish that de Broglie's wave, as it is introduced in his Thesis, is not a wave on a given space, but on the contrary itself determines a system in which Special Relativity i…
Factorization of the quadratic Misiurewicz-Thurston polynomials
Nicolae Mihalache, Francois Vigneron
This note provides the complete factorization of the Misiurewicz-Thurston polynomial over , which plays a central role in the stu…
Apodictic discourse and the Cauchy-Bunyakovsky-Schwarz inequality
Satyanad Kichenassamy
Bunyakovsky's integral inequality (1859) is one of the familiar tools of modern Analysis. We try and understand what Bunyakovsky did, why he did it, why others did not follow the s…
Hankel continued fractions and Hankel determinants for -deformed metallic numbers
Guo-Niu Han, Emmanuel Pedon
Fix a positive integer. Take the -th metallic number (e.g. is the golden number) and let be its -deformation in the sense of…