33 citations · 77 across the 13 of their papers we have counts for
3 papers · 1 filter
The oriented swap process and last passage percolation
Elia Bisi, Fabio Deelan Cunden, Shane Gibbons +1
We present new probabilistic and combinatorial identities relating three random processes: the oriented swap process on particles, the corner growth process, and the last passa…
Sorting networks, staircase Young tableaux and last passage percolation
Elia Bisi, Fabio Deelan Cunden, Shane Gibbons +1
We present new combinatorial and probabilistic identities relating three random processes: the oriented swap process on particles, the corner growth process, and the last passa…
The geometric Burge correspondence and the partition function of polymer replicas
Elia Bisi, Neil O'Connell, Nikos Zygouras
We construct a geometric lifting of the Burge correspondence as a composition of local birational maps on generic Young-diagram-shaped arrays. We establish its fundamental relation…