- 97-306 Fr{\'e}d{\'e}ric Klopp
- Band edge behaviour of the integrated density of states of random
Jacobi matrices in dimension 1.
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May 28, 97
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Abstract. Let $H$ be a Jacobi matrix acting on $\ell^2(\Z)$ and $V_\omega$ a random
potential of Anderson type. Let $H_\omega=H+V_\omega$. We give a general
formula relating the decay of the integrated density of states of
$H_\omega$ at the edges of the almost sure spectrum of $H_\omega$ to the
decay of the integrated density of states of $H$ at the edges of spectrum
of $H$.
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