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Serge Aubry - Physics Department . Technion

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In the Anderson base same model, the random DNLS<br />

Model belong to this family of<br />

NONdiffusive Hamiltonian except that operator L<br />

(though it is diagonal), is not proportional to unity<br />

but is random.<br />

Why extra randomness would generate diffusion?<br />

Conjecture: for RDNLS, the limit profile of any<br />

initially localized wavepacket should be or<br />

become quasiperiodic<br />

(as an infinite dimension invariant torus).<br />

<strong>Serge</strong> <strong>Aubry</strong>, <strong>Aubry</strong>,<br />

LLB, FRANCE

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