Representation theory and products of random matrices in $\text{SL}(2,\mathbb{R})$

Alain Comtet, Christophe Texier, Yves Tourigny

The statistical behaviour of a product of independent, identically distributed random matrices in $\text{SL}(2,\mathbb{R})$ is encoded in the generalised Lyapunov exponent $\Lambda$; th…