Singular behavior of the leading Lyapunov exponent of a product of random \({2 \times 2}\) matrices

DOI10.1007/s00220-017-2855-4zbMath1362.82030arXiv1602.03633OpenAlexW2256587582MaRDI QIDQ521977

Rafael Leon Greenblatt, Giuseppe Genovese, Giambattista Giacomin

Publication date: 12 April 2017

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

Full work available at URL: https://arxiv.org/abs/1602.03633

zbMATH Keywords

Lyapunov exponentdisordered modelsrandom \({2 \times 2}\) matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items (6)

Fluctuations of the product of random matrices and generalized Lyapunov exponent ⋮ Localization for random quasi-one-dimensional models ⋮ Continuum limit of random matrix products in statistical mechanics of disordered systems ⋮ Regular expansion for the characteristic exponent of a product of \(2 \times 2\) random matrices ⋮ Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case ⋮ Pseudo-gaps for random hopping models

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