On nodal lines of Neumann eigenfunctions

Krzysztof Burdzy

REVIEW

On nodal lines of Neumann eigenfunctions

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 math/0203017 v1 pith:QR7WBIWS submitted 2002-03-02 math.AP math.PR

On nodal lines of Neumann eigenfunctions

Krzysztof Burdzy This is my paper

classification math.AP math.PR

keywords neumannnodalbrowniancouplingdomaineigenfunctioneigenfunctionsline

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We present a new method for locating the nodal line of the second eigenfunction for the Neumann problem in a planar domain. The technique is based on the `mirror coupling' of reflected Brownian motions.

On nodal lines of Neumann eigenfunctions

discussion (0)