Lyapunov exponents for products of rectangular real, complex and quaternionic Ginibre matrices

DOI10.1088/1751-8113/48/15/155204zbMath1316.15041arXiv1412.3003OpenAlexW3103550897MaRDI QIDQ5248735

Jesper R. Ipsen

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1412.3003

zbMATH Keywords

Lyapunov exponentsrandom matrixdensity of eigenvaluesmatrix over special ringquaternionic Ginibre matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (13)

Empirical distribution of scaled eigenvalues for product of matrices from the spherical ensemble ⋮ Products of many large random matrices and gradients in deep neural networks ⋮ Lyapunov exponent, universality and phase transition for products of random matrices ⋮ Lyapunov exponents for some isotropic random matrix ensembles ⋮ The product of \(m\) real \(N \times N\) Ginibre matrices: real eigenvalues in the critical regime \(m = O(N)\) ⋮ Limiting distributions of spectral radii for product of matrices from the spherical ensemble ⋮ An induced real quaternion spherical ensemble of random matrices ⋮ Kac–Rice fixed point analysis for single- and multi-layered complex systems ⋮ Time-inhomogeneous random Markov chains ⋮ Real eigenvalue statistics for products of asymmetric real Gaussian matrices ⋮ Probability that product of real random matrices have all eigenvalues real tend to 1 ⋮ Matrix product ensembles of Hermite type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral ⋮ How Many Eigenvalues of a Product of Truncated Orthogonal Matrices are Real?

This page was built for publication: Lyapunov exponents for products of rectangular real, complex and quaternionic Ginibre matrices