Communications in Mathematical Physics

, Volume 101, Issue 1, pp 1–19 | Cite as

Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model

  • Barry Simon
  • Michael Taylor
Article
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Revised:

Abstract

We consider infinite Jacobi matrices with ones off-diagonal, and independent identically distributed random variables with distributionF(v)dv on-diagonal. IfF has compact support and lies in some Sobolev spaceL α 1 , then we prove that the integrated density of states,k(E), isC∞ inE.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Harmonic Analysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Barry Simon
    • 1
  • Michael Taylor
    • 2
  1. 1.Division of Physics, Mathematics and AstronomyCalifornia Institute of TechnologyPasadenaUSA
  2. 2.Department of MathematicsState University of New York at Stony BrookStony BrookUSA

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