Polynomial effective equidistribution

Elon Lindenstrauss; Amir Mohammadi; Zhiren Wang

doi:10.5802/crmath.411

Polynomial effective equidistribution

Elon Lindenstrauss
, Amir Mohammadi^*
, Zhiren Wang

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of SL₂(l) in arithmetic quotients of SL₂(C) and SL₂(l)×SL₂(l). The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space.

Original language	English
Pages (from-to)	507-520
Number of pages	14
Journal	Comptes Rendus Mathematique
Volume	361
Issue number	G2
DOIs	https://doi.org/10.5802/crmath.411
State	Published - 2023

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10.5802/crmath.411

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title = "Polynomial effective equidistribution",

abstract = "We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of SL2(l) in arithmetic quotients of SL2(C) and SL2(l)×SL2(l). 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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AB - We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of SL2(l) in arithmetic quotients of SL2(C) and SL2(l)×SL2(l). 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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Polynomial effective equidistribution

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