Poisson limit theorems for the Robinson-Schensted correspondence and for the multi-line Hammersley process
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Publication:2687275
DOI10.1016/j.aam.2022.102478OpenAlexW3031390702WikidataQ122453978 ScholiaQ122453978MaRDI QIDQ2687275
Łukasz Maślanka, Mikołaj Marciniak, Piotr Śniady
Publication date: 1 March 2023
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.13824
Poisson processRSKRobinson-Schensted-Knuth algorithmPlancherel growth processmulti-line Hammersley process
Central limit and other weak theorems (60F05) Combinatorial aspects of representation theory (05E10) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)
Cites Work
- Interacting particle systems at the edge of multilevel Dyson Brownian motions
- Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer queues
- Asymptotics of maximal and typical dimensions of irreducible representations of a symmetric group
- Analytical depoissonization and its applications
- A variational problem for random Young tableaux
- Random words, quantum statistics, central limits, random matrices
- Anisotropic Young diagrams and Jack symmetric functions
- On the distribution of the length of the second row of a Young diagram under Plancherel measure
- Hammersley's process with sources and sinks
- Hammersley's interacting particle process and longest increasing subsequences
- Poisson limit of bumping routes in the Robinson-Schensted correspondence
- Random strict partitions and random shifted tableaux
- Jeu de taquin dynamics on infinite Young tableaux and second class particles
- Joint distribution of Busemann functions in the exactly solvable corner growth model
- The Surprising Mathematics of Longest Increasing Subsequences
- Representations of Lie groups and random matrices
- On the distribution of the length of the longest increasing subsequence of random permutations
- Asymptotics of Plancherel measures for symmetric groups
- An Introduction to the Theory of Point Processes
- Discrete orthogonal polynomial ensembles and the Plancherel measure
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