Morier-Genoud, Sophie
- Farey boat I. Continued fractions and triangulations, modular group and polygon dissections
2018/11/03 by Sophie Morier-Genoud, Morier-Genoud, Sophie, Valentin Ovsienko +1 · 5 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT)
- Arithmetics of 2-friezes
2011/09/05 by Sophie Morier-Genoud, Morier-Genoud, Sophie · 2 citations
Mathematics · #13F60 #5E99 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
- q-deformations of the modular group and of the real quadratic\n irrational numbers
2021/01/08 by Ludivine Leclere, Leclere, Ludivine, Sophie Morier-Genoud +1 · 3 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA)
- Burau representation of braid groups and q-rationals
2023/09/08 by Morier-Genoud, Sophie, Ovsienko, Valentin, Veselov, Alexander · 4 citations
#Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT)
- 2-frieze patterns and the cluster structure of the space of polygons
2010/08/19 by Morier-Genoud, Sophie, Ovsienko, Valentin, Tabachnikov, Serge · 1 citation
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics
- Linear difference equations, frieze patterns and combinatorial Gale transform
2013/09/16 by Morier-Genoud, Sophie, Ovsienko, Valentin, Schwartz, Richard Evan +1 · 1 citation
#05E #14M15 #39A #Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics
- On radius of convergence of q-deformed real numbers
2021/02/01 by Ludivine Leclere, Leclere, Ludivine, Sophie Morier-Genoud +5 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Computability, Logic, AI Algorithms #FOS: Mathematics #Quantum Algebra (math.QA)
- q-deformed rationals and irrationals
2025/03/31 by Morier-Genoud, Sophie, Ovsienko, Valentin · 2 citations
#Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)