3 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.NT2025
Arithmetic and geometry of Markov polynomials
S. J. Evans, A. P. Veselov, B. Winn
Markov polynomials are the Laurent-polynomial solutions of the generalised Markov equation which are the results o…
math.NT2024
Quantum Kronecker fractions
S. J. Evans, A. P. Veselov, B. Winn
A few years ago Morier-Genoud and Ovsienko introduced an interesting quantization of the real numbers as certain power series in a quantization parameter It is known now that…