Journals Information
Universal Journal of Applied Mathematics Vol. 4(4), pp. 67 - 83
DOI: 10.13189/ujam.2016.040401
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Renormalization Group Limit of Anderson Models
Victor Chulaevsky *
Department of Mathematics, University of Reims, France
ABSTRACT
We present the adaptive feedback scaling method for the Anderson localization analysis of several large classes of random Hamiltonians in discrete and continuous disordered media. We also give a constructive scale-free criterion of localization with asymptotically exponential decay of eigenfunction correlators, which can be verified in applications with the help of numerical methods.
KEYWORDS
Multi-particle Anderson Localization, Eigenvalue Concentration Estimates
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Victor Chulaevsky , "Renormalization Group Limit of Anderson Models," Universal Journal of Applied Mathematics, Vol. 4, No. 4, pp. 67 - 83, 2016. DOI: 10.13189/ujam.2016.040401.
(b). APA Format:
Victor Chulaevsky (2016). Renormalization Group Limit of Anderson Models. Universal Journal of Applied Mathematics, 4(4), 67 - 83. DOI: 10.13189/ujam.2016.040401.