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    • Smoothness of density of states for random decaying interaction

      M Krishna

      Volume 112 Issue 1 February 2002 pp 163-181

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/01/0163-0181

    • Keywords

       

      Random Jacobi operators; density of states; smoothness

    • Abstract

       

      In this paper we consider one dimensional random Jacobi operators with decaying independent randomness and show that under some condition on the decay vis-a-vis the distribution of randomness, that the distribution function of the average spectral measures of the associated operators are smooth.

    • Author Affiliations

       

      M Krishna1

      1. Institute of Mathematical Sciences, Taramani, Chennai - 600 113, India

    • Dates

       
      Published
      February 2002

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