Exactly solving the KPZ equation

Ivan Corwin

Exactly solving the KPZ equation

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 1804.05721 v1 pith:7KS2HA3Z submitted 2018-04-16 math.PR

Ivan Corwin This is my paper · ORCID

classification math.PR

keywords equationexactlycompletedistributionexactformulahopf-coleintended

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We present a complete proof of the exact formula for the one-point distribution for the narrow-wedge Hopf-Cole solution to the Kardar-Parisi-Zhang (KPZ) equation. This presentation is intended to be self-contained so no previous knowledge about stochastic PDEs, or exactly solvable systems is presumed.

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

The half-space KPZ line ensemble and its scaling limit
math.PR 2025-06 conditional novelty 7.0 of 10

The half-space KPZ line ensemble is constructed, proven tight under 1:2:3 scaling in critical and supercritical regimes, and shown to have subsequential limits with a one-sided Gibbs property, including pairwise pinne...

Pith tools