81 citations · 258 across the 31 of their papers we have counts for
16 papers · 1 filter
Jeu de taquin forests and the inverse infinite RSK correspondence
Dan Romik, Piotr Śniady
The Plancherel-random infinite Young tableau arises from applying the infinite Robinson-Schensted-Knuth (RSK) correspondence to a sequence of i.i.d. random variables distributed un…
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…
Absorbing time asymptotics in the oriented swap process
Alexey Bufetov, Vadim Gorin, Dan Romik
The oriented swap process is a natural directed random walk on the symmetric group that can be interpreted as a multi-species version of the Totally Asymmetric Simple Exclusion Pro…
Connectivity patterns in loop percolation I: the rationality phenomenon and constant term identities
Dan Romik
Loop percolation, also known as the dense O(1) loop model, is a variant of critical bond percolation in the square lattice Z^2 whose graph structure consists of a disjoint union of…
Jeu de taquin dynamics on infinite Young tableaux and second class particles
Dan Romik, Piotr Śniady
We study an infinite version of the "jeu de taquin" sliding game, which can be thought of as a natural measure-preserving transformation on the set of infinite Young tableaux equip…
Arctic circles, domino tilings and square Young tableaux
Dan Romik
The arctic circle theorem of Jockusch, Propp, and Shor asserts that uniformly random domino tilings of an Aztec diamond of high order are frozen with asymptotically high probabilit…