Kerov's interlacing sequences and random matrices

DOI10.1063/1.4830024zbMath1321.60011arXiv1211.1507OpenAlexW2394702229MaRDI QIDQ5410926

Alexey I. Bufetov

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1507

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (6)

Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so2n+1 ^* ⋮ Interlacing adjacent levels of \(\beta\)-Jacobi corners processes ⋮ Asymptotics of discrete \(\beta \)-corners processes via two-level discrete loop equations ⋮ The Spectra of Principal Submatrices in Rotationally Invariant Hermitian Random Matrices and the Markov-Krein Correspondence ⋮ Discrete derivative asymptotics of the β-Hermite eigenvalues ⋮ Representations of classical Lie groups and quantized free convolution

Cites Work

• Consecutive minors for Dyson's Brownian motions
• The Dyson Brownian minor process
• A variational problem for random Young tableaux
• Transition probabilities for continual Young diagrams and the Markov moment problem
• Anisotropic Young diagrams and Jack symmetric functions
• Asymptotic theory of characters of the symmetric group
• Universality properties of Gelfand-Tsetlin patterns
• Eigenvalues of GUE minors
• CLT for spectra of submatrices of Wigner random matrices
• An Introduction to Random Matrices
• Matrix Analysis
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