Nonlinear random matrix statistics, symmetric functions and hyperdeterminants

DOI10.1088/1751-8113/43/8/085213zbMath1187.15038arXiv0912.1228OpenAlexW2022461183MaRDI QIDQ5305460

Pierpaolo Vivo, Jean-Gabriel Luque

Publication date: 22 March 2010

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

Full work available at URL: https://arxiv.org/abs/0912.1228

zbMATH Keywords

eigenvaluesquantum transporthyperdeterminantschaotic cavitiesDyson's symmetry classesinvariant random matrix modelsstatistics of permanents

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) General mathematical topics and methods in quantum theory (81Q99) Random matrices (algebraic aspects) (15B52)

Related Items (5)

Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ Largest Schmidt eigenvalue of random pure states and conductance distribution in chaotic cavities ⋮ Asymptotics of Selberg-like integrals by lattice path counting ⋮ Tensor slice rank and Cayley's first hyperdeterminant ⋮ Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula

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