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

We consider a certain infinite product of random \(2 \times 2\) matrices appearing in the solution of some \(1\) and \(1+1\) dimensional disordered models in statistical mechanics, which depends on a parameter \(\varepsilon>0\) and on a real random variable with distribution \(\mu\). For a large...

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Veröffentlicht in:	arXiv.org 2016-12
Hauptverfasser:	Genovese, Giuseppe, Giacomin, Giambattista, Rafael Leon Greenblatt
Format:	Artikel
Sprache:	eng
Schlagworte:	Integral equations Invariants Liapunov exponents Markov chains Norms Random variables Statistical analysis Statistical mechanics
Online-Zugang:	Volltext
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