output
20002025
most citedHypocoercivity and exponential time decay for the linear inhomogeneous relaxation Boltzmann equation

98 citations

128 papers

math.CO2025

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…

math.AP2025

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…

physics.hist-ph2025

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…

math.DS2025

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…

math.AP2025

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…

math.NT2025

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…