52 citations · 402 across the 46 of their papers we have counts for
4 papers · 1 filter
The asymptotic number of -Avoiding Words with occurrences of each letter
Guillaume Chapuy
Following Ekhad and Zeilberger (The Personal Journal of Shalosh B. Ekhad and Doron Zeilberger, Dec 5 2014; see also arXiv:1412.2035), we study the asymptotics for large of the…
Perfect sampling algorithm for Schur processes
Dan Betea, Cédric Boutillier, Jérémie Bouttier +3
We describe random generation algorithms for a large class of random combinatorial objects called Schur processes, which are sequences of random (integer) partitions subject to cer…
From Aztec diamonds to pyramids: steep tilings
Jérémie Bouttier, Guillaume Chapuy, Sylvie Corteel
We introduce a family of domino tilings that includes tilings of the Aztec diamond and pyramid partitions as special cases. These tilings live in a strip of of the f…
Simple recurrence formulas to count maps on orientable surfaces
Sean R. Carrell, Guillaume Chapuy
We establish a simple recurrence formula for the number of rooted orientable maps counted by edges and genus. We also give a weighted variant for the generating polynomial…