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Journal of the Ramanujan Mathematical Society

Volume 30, Issue 3, September 2015  pp. 251–266.

Poisson statistics for Anderson model with singular randomness

Authors:  Dhriti Ranjan Dolai and M. Krishna
Author institution:The Institute of Mathematical Sciences, 4th Cross Street, CIT Campus, Taramani, Chennai 600 113, India

Summary:  In this work we consider the Anderson model on the d-dimensional lattice with the single site potential having singular distribution, mainly α-Hölder continuous ones and show that the eigenvalue statistics is Poisson in the region of exponential localization.


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