68 citations · 245 across the 19 of their papers we have counts for
22 papers
Refined product formulas for Tamari intervals
Alin Bostan, Frédéric Chyzak, Vincent Pilaud
We provide short product formulas for the -vectors of the canonical complexes of the Tamari lattices and of the cellular diagonals of the associahedra.
Symbolic-Numeric Factorization of Differential Operators
Frédéric Chyzak, Alexandre Goyer, Marc Mezzarobba
We present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordinary differential operators with rational function coefficients. The new algorithm combines ideas of va…
A closed-form formula for the Kullback-Leibler divergence between Cauchy distributions
Frédéric Chyzak, Frank Nielsen
We report a closed-form expression for the Kullback-Leibler divergence between Cauchy distributions which involves the calculation of a novel definite integral. The formula shows t…
Bijections Between Łukasiewicz Walks and Generalized Tandem Walks
Frédéric Chyzak, Karen Yeats
In this article, we study the enumeration by length of several walk models on the square lattice. We obtain bijections between walks in the upper half-plane returning to the -ax…
Generalized Hermite Reduction, Creative Telescoping and Definite Integration of D-Finite Functions
Alin Bostan, Frédéric Chyzak, Pierre Lairez +1
Hermite reduction is a classical algorithmic tool in symbolic integration. It is used to decompose a given rational function as a sum of a function with simple poles and the deriva…
Becker's conjecture on Mahler functions
Jason Bell, Frederic Chyzak, Michael Coons +1
In 1994, Becker conjectured that if is a -regular power series, then there exists a -regular rational function such that satisfies a Mahler-type fun…