163 citations · 827 across the 46 of their papers we have counts for
3 papers · 1 filter
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…
Multivariate Juggling Probabilities
Arvind Ayyer, Jérémie Bouttier, Sylvie Corteel +1
We consider refined versions of Markov chains related to juggling introduced by Warrington. We further generalize the construction to juggling with arbitrary heights as well as inf…