Polynomial effective equidistribution

Elon Lindenstrauss; Amir Mohammadi; Zhiren Wang

doi:10.5802/crmath.411

Polynomial effective equidistribution

Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang

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 (US)
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

Access to Document

10.5802/crmath.411

Cite this

@article{b5b024eb8270498488bc42f2398afc1d,

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",

doi = "10.5802/crmath.411",

language = "English (US)",

volume = "361",

pages = "507--520",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "G2",

}

TY - JOUR

T1 - Polynomial effective equidistribution

AU - Lindenstrauss, Elon

AU - Mohammadi, Amir

AU - Wang, Zhiren

PY - 2023

Y1 - 2023

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85187656507&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85187656507&partnerID=8YFLogxK

U2 - 10.5802/crmath.411

DO - 10.5802/crmath.411

M3 - Article

AN - SCOPUS:85187656507

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

Access to Document

Other files and links

Fingerprint

Cite this