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<title><string language="fre"><![CDATA[Emergence of extended states at zero in the spectrum of sparse random graphs (workshop ERC Nemo Processus ponctuels et graphes aléatoires unimodulaires)]]></string></title>
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<string language="fre"><![CDATA[We confirm the long-standing prediction 
that c=e?2.718 is the threshold for the emergence of a non-vanishing 
absolutely continuous part (extended states) at zero in the limiting 
spectrum of the Erd?s-Renyi random graph with average degree c. This is 
achieved by a detailed second-order analysis of the resolvent (A?z)?1 
near the singular point z=0, where A is the adjacency operator of the 
Poisson-Galton-Watson tree with mean offspring c. More generally, our 
method applies to arbitrary unimodular Galton-Watson trees, yielding 
explicit criteria for the presence or absence of extended states at zero
in the limiting spectral measure of a variety of random graph models, 
in terms of the underlying degree distribution. Joint work with Simon 
Coste.]]></string></description>
<keyword><string language="fre"><![CDATA[processus ponctuels]]></string></keyword><keyword><string language="fre"><![CDATA[graphes aléatoires]]></string></keyword><keyword><string language="fre"><![CDATA[dynamique des réseaux stochastiques]]></string></keyword><keyword><string language="fre"><![CDATA[modélisation réseau]]></string></keyword>
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<entity><![CDATA[BEGIN:VCARD
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