Hatem NAJAR
Lifshitz tails for acoustic waves in random quantum waveguide
(905K, pdf; dvi; ps)

ABSTRACT.  In this study, we consider acoustic operators in 
a random quantum waveguide. Precisely we deal with the acoustic 
operator of the form $-\nabla \varrho \nabla$ on a random strip. We 
prove that the integrated density of states of the relevant operator 
exhibits Lifshitz behavior at the bottom of the spectrum. This 
result could be used to prove localization of acoustic waves at the 
bottom of the spectrum.