Perrine Jouteur

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math.CO2026

A mirror deformation of Markov numbers

LÃ©a Bittmann, Perrine Jouteur, Ezgi KantarcÄ± OÄuz +2

We introduce a deformed squared Markov equation given by $X^{2} + Y^{2} + Z^{2} + (q + q^{- 1}) (X Y + Y Z + X Z) = 3 (1 + q + q^{- 1}) X Y Z$ . Symmetric solutions of this new equation present a remarka…

math.CO2025

On $q$ -deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges

Sam Evans, Perrine Jouteur, Sophie Morier-Genoud +1

We consider a natural $q$ -deformation of the classical Markov numbers. This $q$ -deformation is closely related to $q$ -deformed rational numbers recently introduced by two of us. Bo…

math.CO2025

Symmetries of the q-deformed real projective line

Perrine Jouteur

We generalize in two steps the quantized action of the modular group on $q$ -deformed real numbers introduced by Morier-Genoud and Ovsienko. First, we let the projective general lin…

A mirror deformation of Markov numbers

On q-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges

Symmetries of the q-deformed real projective line

On $q$ -deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges