 97346 H. SchulzBaldes, M. Zarrouati
 Rigorous spectral analysis of the metalinsulator transition in
a limitperiodic potential
(121K, Postscript)
Jun 17, 97

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Abstract. We consider the almostperiodic Jacobi matrices associated to
the real Julia sets of $f_\lambda(z)=z^2\lambda$ for which $\lambda\in
[2,\infty)$ can be seen as the strength of the limitperiodic
coefficients. The typical local spectral exponent of their spectral
measures is shown to be a harmonic function in $\lambda$ decreasing
logarithmically from $1$ to $0$.
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