ABSOLUTELY CONTINUOUS SPECTRUM FOR A RANDOM POTENTIAL ON A TREE WITH STRONG TRANSVERSE CORRELATIONS AND LARGE WEIGHTED LOOPS
2009 ◽
Vol 21
(06)
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pp. 709-733
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Keyword(s):
We consider random Schrödinger operators on tree graphs and prove absolutely continuous spectrum at small disorder for two models. The first model is the usual binary tree with certain strongly correlated random potentials. These potentials are of interest since for complete correlation they exhibit localization at all disorders. In the second model, we change the tree graph by adding all possible edges to the graph inside each sphere, with weights proportional to the number of points in the sphere.
2005 ◽
Vol 136
(3)
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pp. 363-394
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2012 ◽
Vol 53
(9)
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pp. 095205
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1989 ◽
Vol 01
(01)
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pp. 129-133
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2014 ◽
Vol 17
(3-4)
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pp. 409-440
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1988 ◽
pp. 195-205
1993 ◽
Vol 05
(02)
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pp. 453-456
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1985 ◽
Vol 97
(3)
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pp. 465-471
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