Fluctuations of random matrix products and 1D Dirac equation with random mass
Kabir Ramola 1 Christophe Texier 1 Journal of Statistical Physics, Springer Verlag (Germany), 2014, 157, pp.497-514 We study the fluctuations of certain random matrix products $\Pi_N=M_N\cdots M_2M_1$ of $\mathrm{SL}(2,\mathbb{R})$, describing localisation properties of the one-dimensional Dirac equation with random mass. In the continuum limit, i.e. when matrices $M_n$’s are close to the identity matrix, we […]
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