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arXiv · 2211.11099

Effective equidistribution for some one parameter unipotent flows

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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BibTeXRIS

Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang. 2022-11-20. Effective equidistribution for some one parameter unipotent flows. https://arxiv.org/abs/2211.11099

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