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Proceedings of the American Mathematical Society

Volumn 135, Issue 5, 2007, Pages 1431-1440

Spectral localization in the hierarchical Anderson model

(1) Kritchevski, Evgenij a

a MCGILL UNIVERSITY (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45849116964 PISSN: 00029939 EISSN: None Source Type: Journal
DOI: 10.1090/S0002-9939-06-08614-X Document Type: Article

Times cited : (36)

References (9)

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2
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- Investigation of the Critical Point in Models of the Type of Dyson's Hierarchical Models. Commun
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- Bleher, P.M.¹ Sinai, Y.G.²

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- Operators with singular continuous spectrum: II. Rank one operators
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- del Rio, R., Makarov, N., Simon, B.: Operators with singular continuous spectrum: II. Rank one operators. Commun. Math. Phys. 165 (1994), 59. MR1298942 (97a:47002)
- (1994) Commun. Math. Phys , vol.165 , pp. 59
- Rio, D.R.¹ Makarov, N.² Simon, B.³

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- Existence of a phase-transition in a one dimensional Ising Ferromagnet
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- Dyson, F. J.: Existence of a phase-transition in a one dimensional Ising Ferromagnet. Comm. Math. Phys. 12, 91 (1969). MR0436850 (55:9786)
- (1969) Comm. Math. Phys , vol.12-91
- Dyson, F.J.¹

6
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- Pure point spectrum under 1-parameter perturbations and instability of Anderson localization
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- Gordon, A.¹

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- Lectures on random media
- Saint-Flour, Lecture Notes in Math., Springer, Berlin, MR1307415 95m:60165
- Molchanov, S.: Lectures on random media. Lectures on probability theory (Saint-Flour, 1992), 242-411, Lecture Notes in Math., 1581, Springer, Berlin, 1994. MR1307415 (95m:60165)
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- Molchanov, S.¹

8
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- Hierarchical random matrices and operators. Application to Anderson model. Multidimensional statistical analysis and theory of random matrices Bowling Green, OH, VSP, Utrecht, 1996. MR1463464 99b:82054
- Molchanov, S.: Hierarchical random matrices and operators. Application to Anderson model. Multidimensional statistical analysis and theory of random matrices (Bowling Green, OH, 1996), 179-194, VSP, Utrecht, 1996. MR1463464 (99b:82054)
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