Shreyasi Datta

On Fourier asymptotics and effective equidistribution

Abstract We prove effective equidistribution of expanding horocycles in the space SL 2 ⁢ ( Z ) \ SL 2 ⁢ ( R ) \mathrm{SL}_{2}(\mathbb{Z})\backslash\mathrm{SL}_{2}(\mathbb{R}) with respect to various classes of Borel probability measures on ℝ having certain Fourier asymptotics. Ou...