A limit theorem for stochastically decaying partitions at the edge

DOI10.1142/S2010326316500167zbMath1354.60012arXiv1604.01104MaRDI QIDQ3179764

Sasha Sodin, In-Jee Jeong

Publication date: 20 December 2016

Published in: Random Matrices: Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01104

zbMATH Keywords

limit theoremrandom partitionsAiry line ensemblemodified moment method

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Combinatorial probability (60C05) Random matrices (algebraic aspects) (15B52) Continuous-time Markov processes on discrete state spaces (60J27) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new approach to representation theory of symmetric groups
• Characteristic vectors of bordered matrices with infinite dimensions
• Characteristic vectors of bordered matrices with infinite dimensions. II
• A universality result for the smallest eigenvalues of certain sample covariance matrices
• A variational problem for random Young tableaux
• Level-spacing distributions and the Airy kernel
• Transition probabilities for continual Young diagrams and the Markov moment problem
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
• Universality at the edge of the spectrum in Wigner random matrices.
• On the distribution of the length of the second row of a Young diagram under Plancherel measure
• Symmetric polynomials and the center of the symmetric group ring
• Brownian Gibbs property for Airy line ensembles
• Eigenvalues of GUE minors
• CLT for spectra of submatrices of Wigner random matrices
• The Surprising Mathematics of Longest Increasing Subsequences
• Random matrices, nonbacktracking walks, and orthogonal polynomials
• On the distribution of the length of the longest increasing subsequence of random permutations
• Asymptotics of Plancherel measures for symmetric groups
• Discrete orthogonal polynomial ensembles and the Plancherel measure

This page was built for publication: A limit theorem for stochastically decaying partitions at the edge