- CDSNS Colloquium
- Friday, November 1, 2019 - 11:15 for 1 hour (actually 50 minutes)
- Skiles 005
- Hans Koch – Univ. of Texas, Austin – email@example.com
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 that 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.