In this paper we continue with the investigation of the behavior of the integrated density of states of random operators of the form $\displaystyle H_\omega=-\nabla\rho_\omega\nabla$. In the present work we are interested in its asymptotic at $0$, the bottom of the spectrum of $H_{\omega}$. We prove that it converges exponentially fast to that of some periodic operator $\overline{H}$.
Publié le : 2004-07-05
Classification:
localization,
spectral theory,
random operators,
integrated density of states,
Lifshitz tails,
localization.,
81Q10, 35P05, 37A30, 47F05.,
[MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP],
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00004309,
author = {Najar, Hatem},
title = {Non-Lifshitz tails at the spectrum bottom of some random operator},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00004309}
}
Najar, Hatem. Non-Lifshitz tails at the spectrum bottom of some random operator. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00004309/