Shreyasi Datta

University of York University of York


Fourier Asymptotics and Effective Equidistribition


Ergodic Theory and Dynamical Systems Seminar


24th October 2024, 2:00 pm – 3:00 pm
Fry Building, 2.04


We talk about effective equidistribution of the expanding horocycles on the unit cotangent bundle of the modular surface with respect to various classes of Borel probability measures on the reals, depending on their Fourier asymptotics. In particular, I will talk about examples involving certain fractal measures with small Hausdorff dimensional support and measures whose Fourier transforms have arbitrary slow polynomial decay. This is a joint work with Subhajit Jana.






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