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math.CO2025
Tree-indexed sums of Catalan numbers
Alin Bostan, Valentin Féray, Paul Thévenin
We consider a family of infinite sums of products of Catalan numbers, indexed by trees. We show that these sums are polynomials in with rational coefficients; the proof is ef…
math.CO2023★ 1 cited
Asymptotic normality of pattern counts in conjugacy classes
Valentin Féray, Mohamed Slim Kammoun
We prove, under mild conditions on fixed points and two cycles, the asymptotic normality of vincular pattern counts for a permutation chosen uniformly at random in a conjugacy clas…