Lyapunov exponents for some isotropic random matrix ensembles
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Publication:2194167
DOI10.1007/s10955-019-02474-2zbMath1446.60006arXiv1805.05529OpenAlexW2804572191WikidataQ126422934 ScholiaQ126422934MaRDI QIDQ2194167
Jiyuan Zhang, Peter J. Forrester
Publication date: 25 August 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05529
Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52) Generation, random and stochastic difference and differential equations (37H10)
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Discrete matrix hypergeometric functions, CLT with explicit variance for products of random singular matrices related to Hill’s equation
Cites Work
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- Lyapunov exponents for products of complex Gaussian random matrices
- On the largest Lyapunov exponent for products of Gaussian matrices
- A proof of Oseledec's multiplicative ergodic theorem
- Matricvariate and matrix multivariate \(T\) distributions and associated distributions
- The stability of large random matrices and their products
- Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution
- The distribution of Lyapunov exponents: Exact results for random matrices
- Point processes with correlated gamma interarrival times
- Asymptotic expansions for distributions of latent roots in multivariate analysis
- Latent roots and matrix variates: a review of some asymptotic results
- Sum of squares of uniform random variables
- Selberg integral theory and Muttalib-Borodin ensembles
- Comment on: ``Sum of squares of uniform random variables by I. Weissman
- Volumes and distributions for random unimodular complex and quaternion lattices
- Weak disorder expansion of Liapunov exponents in a degenerate case.
- Cones generated by random points on half-spheres and convex hulls of Poisson point processes
- On the efficient calculation of a linear combination of chi-square random variables with an application in counting string vacua
- Universal distribution of Lyapunov exponents for products of Ginibre matrices
- The volume of an isotropic random parallelotope
- Expected intrinsic volumes and facet numbers of random beta‐polytopes
- Random p-content of a p-parallelotope in Euclidean n-space
- Matrix Polar Decomposition and Generalisations of the Blaschke-Petkantschin Formula in Integral Geometry
- Lyapunov exponents for products of rectangular real, complex and quaternionic Ginibre matrices
- Asymptotics of finite system Lyapunov exponents for some random matrix ensembles
- POLAR DECOMPOSITION OF THE k-FOLD PRODUCT OF LEBESGUE MEASURE ON ℝn
- Some Non-Central Distribution Problems in Multivariate Analysis
