arXiv subjects

Nathan Bonin

Publications and source records attributed to Nathan Bonin.

2 recordsLinked to original sources

arXiv2024

Conditions of positivity on a shadow Markoff Tree

An analogue of the Markoff equation has recently been introduced by the author and Valentin Ovsienko. A conjecture about the necessary and sufficient conditions for positivity of solutions to this equation is formulated and discussed.

math.CO↗

arXiv2022

A shadow Markov equation

We introduce a superanalogue of the classical Markov equation. This equation characterizes the ``shadow Markov numbers'' recently considered by one of us. We show that this equation is characterized by invariance by cluster algebra mutations.

math.CO↗