Publications [#330308] of Alexander A. Kiselev

Papers Published

1. Germinet, F; Kiselev, A; Tcheremchantsev, S, Transfer matrices and transport for Schrödinger operators, Annales de l'Institut Fourier, vol. 54 no. 3 (2004), pp. 787-830, Cellule MathDoc/Centre Mersenne [doi]
   (last updated on 2026/01/14)

   Abstract:
   We provide a general lower bound on the dynamics of one dimensional Schrödinger operators in terms of transfer matrices. In particular it yields a non trivial lower bound on the transport exponents as soon as the norm of transfer matrices does not grow faster than polynomially on a set of energies of full Lebesgue measure, and regardless of the nature of the spectrum. Applications to Hamiltonians with a) sparse, b) quasi-periodic, c) random decaying potential are provided. We also develop some general analysis of wave- packets that enables one to characterize transports exponents at low and large moments.