Abstract
We prove for the square Fibonacci Hamiltonian that the density of states measure is absolutely continuous for almost all pairs of small coupling constants. This is obtained from a new result we establish about the absolute continuity of convolutions of measures arising in hyperbolic dynamics with exact-dimensional measures.
| Original language | English |
|---|---|
| Pages (from-to) | 1603-1640 |
| Number of pages | 38 |
| Journal | Duke Mathematical Journal |
| Volume | 164 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2015 |
| Externally published | Yes |
Bibliographical note
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