Polynomial effective equidistribution

Elon Lindenstrauss; Amir Mohammadi; Zhiren Wang

doi:10.5802/crmath.411

Polynomial effective equidistribution

Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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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.",

author = "Elon Lindenstrauss and Amir Mohammadi and Zhiren Wang",

year = "2023",

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AU - Lindenstrauss, Elon

AU - Mohammadi, Amir

AU - Wang, Zhiren

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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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U2 - 10.5802/crmath.411

DO - 10.5802/crmath.411

M3 - مقالة

SN - 1631-073X

VL - 361

SP - 507

EP - 520

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - G2

ER -

Polynomial effective equidistribution

Abstract

All Science Journal Classification (ASJC) codes

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