Pith. sign in

REVIEW 1 cited by

Polynomial effective equidistribution

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2202.11815 v3 pith:WP6W2YB6 submitted 2022-02-23 math.DS math.GTmath.NT

Elon Lindenstrauss , Amir Mohammadi , Zhiren Wang This is my paper · ORCID
classification math.DSmath.GTmath.NT
keywords mathbboperatornameeffectiveequidistributionpolynomialambientarithmeticerror
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Applications of Almost Stationarity I: Quantitative Growth of Injectivity Radius and St\"{u}ck-Zimmer Theorem

    math.DS 2026-08 conditional novelty 7.0 of 10

    For non-lattice discrete subgroups of higher-rank simple Lie groups, the maximal injectivity radius on balls of radius r grows at least c log log log log r.

Pith tools