2006/11/19 by I. M. Suslov, Suslov, I. M.
Computer Science · Mathematics · Medicine · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear Dynamics and Pattern Formation #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.cond-mat/0611504
openalex publication_date 2006/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The generalized Lyapunov exponents describe the growth of the second moments for a particular solution of the quasi-1D Schroedinger equation with initial conditions on the left end. Their possible application in the Anderson transition theory became recently a subject for controversy in the literature. The approach to the problem of the second moments advanced by Markos et al (cond-mat/0402068) is shown to be trivially incorrect. The difference of approaches by Kuzovkov et al (cond-mat/0212036, cond-mat/0501446) and the present author (cond-mat/0504557, cond-mat/0512708) is discussed.