649 citations · 1.5k across the 60 of their papers we have counts for
60 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…
Fluctuations of Schensted row insertion
Mikołaj Marciniak, Piotr Śniady
We investigate asymptotic probabilistic phenomena arising from the application of the Schensted row insertion algorithm, a key component of the Robinson-Schensted-Knuth (RSK) corre…
Bijection between trees in Stanley character formula and factorizations of a cycle
Karolina Trokowska, Piotr Śniady
Stanley and Féray gave a formula for the irreducible character of the symmetric group related to a multi-rectangular Young diagram. This formula shows that the character is a polyn…
Symmetric group characters of almost square shape
Sho Matsumoto, Piotr Śniady
We give closed product formulas for the irreducible characters of the symmetric groups related to rectangular `almost square' Young diagrams for a fixed value of an…
Poisson limit of bumping routes in the Robinson-Schensted correspondence
Łukasz Maślanka, Mikołaj Marciniak, Piotr Śniady
We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the -axis) when a specified numbe…
Poisson limit theorems for the Robinson-Schensted correspondence and for the multi-line Hammersley process
Mikołaj Marciniak, Łukasz Maślanka, Piotr Śniady
We consider Robinson-Schensted-Knuth algorithm applied to a random input and study the growth of the bottom rows of the corresponding Young diagrams. We prove multidimensional Pois…