A Random Necklace Model
Kostrykin, Vadim ; Schrader, Robert
arXiv, 0309032 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-09-12
Classification:  Mathematical Physics,  34B45,  60H25 
@article{0309032,
     author = {Kostrykin, Vadim and Schrader, Robert},
     title = {A Random Necklace Model},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309032}
}

Kostrykin, Vadim; Schrader, Robert. A Random Necklace Model. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309032/