The Ginibre evolution in the large-N limit

DOI10.1063/1.4881724zbMath1296.82045arXiv1212.6949OpenAlexW2964022641WikidataQ115927301 ScholiaQ115927301MaRDI QIDQ5171413

Oleg V. Zaboronski, Roger P. Tribe

Publication date: 26 July 2014

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

Full work available at URL: https://arxiv.org/abs/1212.6949

zbMATH Keywords

eigenvaluemanifoldsBrownian motionpolynomialscorrelation functions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Brownian motion (60J65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (6)

Central limit theorems for the real eigenvalues of large Gaussian random matrices ⋮ Squared eigenvalue condition numbers and eigenvector correlations from the single ring theorem ⋮ Ornstein–Uhlenbeck diffusion of hermitian and non-hermitian matrices—unexpected links ⋮ The Ginibre evolution in the large-N limit ⋮ Large deviations for sticky Brownian motions ⋮ Full Dysonian dynamics of the complex Ginibre ensemble

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pfaffian formulae for one dimensional coalescing and annihilating systems
• One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes
• Gaussian ensembles of random Hermitian matrices intermediate between orthogonal and unitary ones
• The Ginibre ensemble of real random matrices and its scaling limits
• Superbosonization formula and its application to random matrix theory
• Differential Operators on a Semisimple Lie Algebra
• General eigenvalue correlations for the real Ginibre ensemble
• A new approach to derive Pfaffian structures for random matrix ensembles
• Symplectic structure of the real Ginibre ensemble
• An Introduction to Random Matrices
• How Many Eigenvalues of a Random Matrix are Real?
• The planar approximation. II
• The Ginibre evolution in the large-N limit
• Riemannian symmetric superspaces and their origin in random-matrix theory
• Schur function averages for the real Ginibre ensemble
• Characteristic polynomials in real Ginibre ensembles
• Time-Dependent Statistics of the Ising Model
• Unitary Triangularization of a Nonsymmetric Matrix
• On some Gaussian ensembles of Hermitian matrices

This page was built for publication: The Ginibre evolution in the large-N limit