A Random Necklace Model

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We consider a Laplace operator on a random graph consisting of infinitely many loops joined symmetrically by intervals of unit length. The arc lengths of the loops are considered to be independent, identically distributed random variables. The integrated density of states of this Laplace operator is shown to have discontinuities provided that the distribution of arc lengths of the loops has a nontrivial pure point part. Some numerical illustrations are also presented.
5 figures

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Mathematical Physics, 34B45; 60H25

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http://salesiana.dossiersoluciones.com/handle/123456789/57501

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0309032
 http://arxiv.org/abs/math-ph/0309032
 Waves in Random Media 14 (2004), S75 - S90
 doi:10.1088/0959-7174/14/1/012

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