Abstract
We consider smooth time-changes of the classical horocycle flows on the unit tangent bundle of a compact hyperbolic surface and prove sharp bounds on the rate of equidistribution and the rate of mixing. We then derive results on the spectrum of smooth time-changes and show that the spectrum is absolutely continuous with respect to the Lebesgue measure on the real line and that the maximal spectral type is equivalent to Lebesgue.
| Original language | English |
|---|---|
| Article number | 5 |
| Pages (from-to) | 251-273 |
| Number of pages | 23 |
| Journal | Journal of Modern Dynamics |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2012 |
Keywords
- Time-changes, horocycle flows, quantitative equidistribution, quantitative mixing, spectral theory
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