Giordano Cotti, Alexander Varchenko, “The <nobr>$*$</nobr>-Markov equation for Laurent polynomials”, Mosc. Math. J., 2022, Volume 22, Number 1,Pages <nobr>1

This article is cited in 2 papers

The $*$-Markov equation for Laurent polynomials

Giordano Cotti^a, Alexander Varchenko^bc

^a Faculdade de Ciências da Universidade de Lisboa - Grupo de Física Matemática, Campo Grande Edifício C6, 1749-016 Lisboa, Portugal
^b Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, USA
^c Faculty of Mathematics and Mechanics, Lomonosov Moscow State University, Leninskiye Gory 1, 119991 Moscow GSP-1, Russia

Abstract: We consider the $*$-Markov equation for the symmetric Laurent polynomials in three variables with integer coefficients, which appears as an equivariant analog of the classical Markov equation for integers. We study how the properties of the Markov equation and its solutions are reflected in the properties of the $*$-Markov equation and its solutions.

Key words and phrases: markov equation, symmetric Laurent polynomial, trees, Poisson structure.

MSC: 11D25, 14F08, 34M40

Language: English

DOI: 10.17323/1609-4514-2022-22-1-1-68