Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem

We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner’s topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices.

Authors

Publication Details

Journal
Comptes Rendus Mathématique
Published
2025-03-06
DOI
https://doi.org/10.5802/crmath.693
Citations
1
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
5.38
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem

Claire Burrin
1 citations
Comptes Rendus Mathématique
Analytic Number Theory Research
5.38
article

Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem

Claire Burrin
article en
1 citations

Abstract

We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner’s topological rigidity theorem. This approach has the advantage of extending to non-uniform lattices.

Comptes Rendus MathématiqueVol. 363(G1)
Openalex Percentile: Top 9%
Analytic Number Theory Research
5.38
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Equidistribution of continuous low-lying pairs of horocycles via Ratner’s theorem — Claire Burrin · Comptes Rendus Mathématique (2025) | TGRS Research Map | TGRS