no. G9
Combinatoire
A shadow Markov equation
Bonin, Nathan1 ; Ovsienko, Valentin1 
1 Laboratoire de Mathématiques de Reims, UMR9008 CNRS, Université de Reims Champagne-Ardenne, U.F.R. Sciences Exactes et Naturelles, Moulin de la Housse - BP 1039, 51687 Reims cedex 2, France
Comptes Rendus. Mathématique, Tome 361 (2023) no. G9, pp. 1483-1489

We introduce an analogue of the classical Markov equation that involves dual numbers a+αε with ε 2 =0. 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.

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DOI : 10.5802/crmath.496

Bonin, Nathan 1 ; Ovsienko, Valentin 1

1 Laboratoire de Mathématiques de Reims, UMR9008 CNRS, Université de Reims Champagne-Ardenne, U.F.R. Sciences Exactes et Naturelles, Moulin de la Housse - BP 1039, 51687 Reims cedex 2, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {A shadow {Markov} equation},
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Bonin, Nathan; Ovsienko, Valentin. A shadow Markov equation. Comptes Rendus. Mathématique, Tome 361 (2023) no. G9, pp. 1483-1489. doi: 10.5802/crmath.496

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