Timeline for rate of equidistribution of the horocycle flow for $SL(2, \mathbb{Z})$
Current License: CC BY-SA 3.0
4 events
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| Feb 14, 2017 at 18:59 | comment | added | john mangual | Also I am glad you mention quantitative mixing, which I was going to pose as a separate question because of the rules of MO | |
| Feb 14, 2017 at 18:58 | comment | added | Asaf | The best $\delta$ is indeed complicated, with the most optimal results are equivalent to RH, see Sarnak's "Asymptotic behavior of periodic orbits of the horocycle flow and eisenstein series" and a previous work of Zagier about the relation between RH and Eisenstein series. P.S. Margulis' result is not complicated, effectivizing his proof relies upon representation theory, and HC bound is common knowledge in this field (and estimating matrix coefficients is a major deal in representation theory of semi-simple Lie groups due to HC's work on the Plancharel formula). | |
| Feb 14, 2017 at 18:55 | comment | added | john mangual | I can't believe it's this complicated. Obviously it must be the case... | |
| Feb 14, 2017 at 18:38 | history | answered | Asaf | CC BY-SA 3.0 |