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- W2499035612 abstract "We give a rate of equidistribution of lifts of horocycles from the space $mathrm{SL}(2,mathbb Z)backslash mathrm{SL}(2, mathbb R)$ to the space $mathrm{ASL}(2,mathbb Z)backslash mathrm{ASL}(2,mathbb R)$, making effective a theorem of Elkies and McMullen. This result constitutes an effective version of Ratner's measure classification theorem for measures supported on general horocycle lifts. The method used relies on Weil's resolution of the Riemann hypothesis for function fields in one variable and generalizes the approach of Strombergsson to the case of linear lifts and that of Browning and the author to rational quadratic lifts." @default.
- W2499035612 created "2016-08-23" @default.
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- W2499035612 date "2016-07-16" @default.
- W2499035612 modified "2023-09-27" @default.
- W2499035612 title "Effective equidistribution of horocycle lifts" @default.
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