%0 Journal Article
%A Ciliberti, S.
%A Grigera, T.S.
%A Martín Mayor, Víctor
%A Parisi, G.
%A Verrocchio, P.
%T Anderson localization in Euclidean random matrices
%D 2005
%@ 1098-0121
%U https://hdl.handle.net/20.500.14352/52170
%X We study the spectra and localization properties of Euclidean random matrices defined on a random graph. We introduce a powerful method to find the density of states and the localization threshold in topologically disordered soff-latticed systems. We solve numerically an equation sexact on the random graphd for the probability distribution function of the diagonal elements of the resolvent matrix, with a population dynamics algorithm sPDAd. We show that the localization threshold can be estimated by studying the stability of a population of real resolvents under the PDA. An application is given in the context of the instantaneous normal modes of a liquid.
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