Hatem NAJAR
2-Dimensional localization of acoustic waves in random 
perturbation of periodic media.
(414K, DVI and PDF files)

ABSTRACT.  In this work we study internal band edges localization of acoustic waves in 2-dimensional 
space obtained by random perturbation of some periodic media. Our 
results rely on the study of Lifshitz tails for the integrated 
density of states for random acoustic operators of the form 
$A_{\omega}=-\nabla\frac{1}{\varrho_{\omega}}\nabla$. Localization 
is then deduced by the standard multiscale argument.