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arXiv · 2202.11815

Polynomial effective equidistribution

Elon Lindenstrauss·Amir Mohammadi·Zhiren Wang
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Abstract

We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\operatorname{SL}_2(\mathbb R)$ in arithmetic quotients of $\operatorname{SL}_2(\mathbb C)$ and $\operatorname{SL}_2(\mathbb R)\times\operatorname{SL}_2(\mathbb R)$. The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.

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Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang. 2022-02-23. Polynomial effective equidistribution. https://arxiv.org/abs/2202.11815

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