Fw: new_abstracts 19 202

[Maria Odete Madeira]

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Subject: new_abstracts 19 202

NEW ABSTRACTS (Jul 11 to Jul 18)

==================== 19-45 ====================

Hans Koch

Golden mean renormalization

for the almost Mathieu operator and related skew products

(2944K, pdf)

ABSTRACT.  Considering SL(2,R) skew-product maps

over circle rotations, we prove that

a renormalization transformation associated with the golden mean alpha

has a nontrivial periodic orbit of length 3.

We also present some numerical results,

including evidence this period 3 describes

scaling properties of the Hofstadter butterfly

near the top of the spectrum at alpha,

and scaling properties of the generalized eigenfunction for this energy.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=19-45

http://www.maia.ub.es/mp_arc-bin/mpa?yn=19-45

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=19-45