Geodesic
On the static conductivity of one-dimensional disordered systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 124-129 
Yu. A. Bychkov. On the static conductivity of one-dimensional disordered systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 27 (1976) no. 1, pp. 124-129. http://geodesic.mathdoc.fr/item/TMF_1976_27_1_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that if a one-dimensional disordered system is ergodie (conditions formulated below), the characteristic flmctions determining the conductivity have properties such that $\sigma(\omega)=0$ for $\omega=0$ ($\omega$ is the frequency of the external electric field). The connection between diffusion and the frequency dependence $\sigma(\omega)$ is investigated. Some questions associated with the density of energy levels in a random one-dimensional system are considered briefly.

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