Stability of random matrix models

DOI10.1216/rmjm/1181072296zbMath0828.60022OpenAlexW1993845180MaRDI QIDQ1898327

Micheline A. Schreiber, Harold M. Hastings

Publication date: 12 December 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072296

zbMATH Keywords

random matricesrandom matrix modelsproducts of random matricesneutral models for the stability of large systems

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Ecology (92D40) Random matrices (algebraic aspects) (15B52) Limit theorems in probability theory (60F99)

Cites Work

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• Characteristic vectors of bordered matrices with infinite dimensions
• The stability of large random matrices and their products
• On the characteristic values of non-symmetric block random matrices
• Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang