45 citations · 146 across the 27 of their papers we have counts for
Showing 2018 · math.COShow all
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math.CO2018★ 41 cited
-deformed rationals and -continued fractions
Sophie Morier-Genoud, Valentin Ovsienko
We introduce a notion of -deformed rational numbers and -deformed continued fractions. A -deformed rational is encoded by a triangulation of a polygon and can be computed…
math.CO2018★ 1 cited
Farey boat I. Continued fractions and triangulations, modular group and polygon dissections
Sophie Morier-Genoud, Valentin Ovsienko
We reformulate several known results about continued fractions in combinatorial terms. Among them the theorem of Conway and Coxeter and that of Series, both relating continued frac…
math.CO2018★ 2 cited
Symplectic Frieze Patterns
Sophie Morier-Genoud
We introduce a new class of friezes which is related to symplectic geometry. On the algebraic and combinatrics sides, this variant of friezes is related to the cluster algebras inv…