40 citations · 214 across the 24 of their papers we have counts for
26 papers
A -Overview of -Analogs
François Bergeron
By a simple homogenization process, one may turn a -analog into a symmetric -analog. Although simple, this bijective correspondence makes many concepts and identities bec…
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
Golden Ratio and Phyllotaxis, what is the mathematical link?
François Bergeron, Christophe Reutenauer
Exploiting Markoff's Theory for rational approximations of real numbers, we explicitly link how hard it is to approximate a given number to an idealized notion of growth capacity f…
Rectangular Schroder Parking Functions Combinatorics
Jean-Christophe Aval, Francois Bergeron
We study Schroder paths drawn in a (m,n) rectangle, for any positive integers m and n. We get explicit enumeration formulas, closely linked to those for the corresponding (m,n)-Dyc…
A q-Analog of Foulke's conjecture
François Bergeron
We propose a -analog of classical plethystic conjectures due to Foulkes. In our conjectures, a divided difference of plethysms of Hall-Littlewood polynomials …
Bounded Height Interlaced Pairs of Parking Functions
Francois Bergeron
We enumerate interlaced pairs of parking functions whose underlying Dyck path has a bounded height. We obtain an explicit formula for this enumeration in the form of a quotient of…