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Polynomial Effective Equidistribution by Lindenstrauss, Elon; Mohammadi, Amir; Wang, Zhiren is a scholarly article available to read on EtoBox.

What is Polynomial Effective Equidistribution about?

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.

Author

Lindenstrauss, Elon; Mohammadi, Amir; Wang, Zhiren

Published

2022

Language

EN