A Random Necklace Model

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dc.creatorKostrykin, Vadim
dc.creatorSchrader, Robert
dc.date2003-09-12
dc.date.accessioned2026-07-07T04:30:33Z
dc.date.available2026-07-07T04:30:33Z
dc.descriptionWe 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.
dc.description5 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0309032
dc.identifierhttp://arxiv.org/abs/math-ph/0309032
dc.identifierWaves in Random Media 14 (2004), S75 - S90
dc.identifierdoi:10.1088/0959-7174/14/1/012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57501
dc.subjectMathematical Physics
dc.subject34B45; 60H25
dc.titleA Random Necklace Model
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