2 papers
math.CO2024
Conditions of positivity on a shadow Markoff Tree
Nathan Bonin
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 s…
math.CO2022
A shadow Markov equation
Nathan Bonin, Valentin Ovsienko
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 equatio…