Explicit invariant measures for products of random matrices

DOI10.1090/S0002-9947-08-04316-XzbMath1153.15028arXivmath-ph/0507069MaRDI QIDQ3508024

Yves Tourigny, Lech Wołowski, Jens Marklof

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0507069

zbMATH Keywords

continued fractionproducts of random matrices

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Random matrices (algebraic aspects) (15B52)

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Cites Work

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• Explicit stationary distributions for compositions of random functions and products of random matrices
• Sur le spectre des opérateurs aux différences finies aléatoires
• Anderson localization for Bernoulli and other singular potentials
• Random continued fractions and inverse Gaussian distribution on a symmetric cone
• A random continued fraction in \(\mathbb{R}^{d+1}\) with an inverse Gaussian distribution
• The dynamics of Padé approximation
• A characterization of the generalized inverse Gaussian distribution by continued fractions
• Iterated Random Functions
• Products of Random Matrices
• Noncommuting Random Products
• The Dynamics of a Disordered Linear Chain