Journal of the Ramanujan Mathematical Society

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Poisson Statistics for Anderson Model With Singular Randomness


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1 The Institute of Mathematical Sciences, 4th Cross Street, CIT Campus, Taramani, Chennai-600113, India
     

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In this work we consider the Anderson model on the d-dimensional lattice with the single site potential having singular distribution, mainly α-Holder continuous ones and show that the eigenvalue statistics is Poisson in the region of exponential localization.
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  • Poisson Statistics for Anderson Model With Singular Randomness

Abstract Views: 304  |  PDF Views: 0

Authors

Dhriti Ranjan Dolai
The Institute of Mathematical Sciences, 4th Cross Street, CIT Campus, Taramani, Chennai-600113, India
M. Krishna
The Institute of Mathematical Sciences, 4th Cross Street, CIT Campus, Taramani, Chennai-600113, India

Abstract


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