Pith. sign in

REVIEW 1 cited by

Distjointness of Mobius from horocycle flows

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 1110.0992 v1 pith:3YMV67H4 submitted 2011-10-05 math.NT math.DS

Jean Bourgain , Peter Sarnak , Tamar Ziegler This is my paper · ORCID
classification math.NTmath.DS
keywords flowshorocyclemobiusprovebackslashbilineardiscretedisjoint
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We formulate and prove a finite version of Vinogradov's bilinear sum inequality. We use it together with Ratner's joinings theorems to prove that the Mobius function is disjoint from discrete horocycle flows on $\Gamma \backslash SL_2(\mathbb{R}).

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. On long-duration storage, weather uncertainty and limited foresight

    econ.GN 2025-05 conditional novelty 6.0 of 10

    Under limited weather foresight, long-duration storage stockpiles against extreme states, solar PV capacity rises by up to 25% and electricity price duration curves smooth compared with perfect-foresight planning.

Pith tools