81 citations · 258 across the 31 of their papers we have counts for
32 papers
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…
On Viazovska's modular form inequalities
Dan Romik
Viazovska proved that the lattice sphere packing is the densest sphere packing in 8 dimensions. Her proof relies on two inequalities between functions defined in terms of mod…
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…
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…
Orthogonal polynomial expansions for the Riemann xi function
Dan Romik
We study infinite series expansions for the Riemann xi function in three specific families of orthogonal polynomials: (1) the Hermite polynomials; (2) the symmetric Meixner-…