89 citations · 1.3k across the 57 of their papers we have counts for
57 papers
The generalized Lyapunov exponent for the one-dimensional Schrödinger equation with Cauchy disorder: some exact results
Alain Comtet, Christophe Texier, Yves Tourigny
We consider the one-dimensional Schrödinger equation with a random potential and study the cumulant generating function of the logarithm of the wave function , known in the l…
Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity
Aurélien Grabsch, Christophe Texier
We consider a multichannel wire with a disordered region of length and a reflecting boundary. The reflection of a wave of frequency is described by the scattering matrix $\…
Comment on "Effective confining potential of quantum states in disordered media"
Alain Comtet, Christophe Texier
We provide some analytical tests of the density of states estimation from the "localization landscape" approach of Ref. [Phys. Rev. Lett. 116, 056602 (2016)]. We consider two diffe…
Representation theory and products of random matrices in
Alain Comtet, Christophe Texier, Yves Tourigny
The statistical behaviour of a product of independent, identically distributed random matrices in is encoded in the generalised Lyapunov exponent ; th…
Generalized Lyapunov exponent of random matrices and universality classes for SPS in 1D Anderson localisation
Christophe Texier
Products of random matrix products of , corresponding to transfer matrices for the one-dimensional Schrödinger equation with a random potential , are…
Fluctuations of the product of random matrices and generalized Lyapunov exponent
Christophe Texier
I present a general framework allowing to carry out explicit calculation of the moment generating function of random matrix products , where 's are i…