Michelle Rabideau

activity

20162020

most citedF-polynomial formula from continued fractions

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.NT2020

On the ordering of the Markov numbers

Kyungyong Lee, Li Li, Michelle Rabideau +1

The Markov numbers are the positive integers that appear in the solutions of the equation $x^{2} + y^{2} + z^{2} = 3 x y z$ . These numbers are a classical subject in number theory and have import…

math.CO2018

Continued fractions and orderings on the Markov numbers

Michelle Rabideau, Ralf Schiffler

Markov numbers are integers that appear in the solution triples of the Diophantine equation, $x^{2} + y^{2} + z^{2} = 3 x y z$ , called the Markov equation. A classical topic in number theory, the…

math.CO2016★ 1 cited

F-polynomial formula from continued fractions

Michelle Rabideau

For cluster algebras from surfaces, there is a known formula for cluster variables and F-polynomials in terms of the perfect matchings of snake graphs. If the cluster algebra has t…