Pith. sign in

REVIEW 1 cited by

The Monge-Amp\`ere equation and its link to optimal transportation

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 1310.6167 v1 pith:4GYKTCS2 submitted 2013-10-23 math.AP

Guido De Philippis , Alessio Figalli This is my paper
classification math.AP
keywords monge-ampequationoptimalregularitytransportationarisingclassconnection
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We survey the (old and new) regularity theory for the Monge-Amp\`ere equation, show its connection to optimal transportation, and describe the regularity properties of a general class of Monge-Amp\`ere type equations arising in that context.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Duality between polyhedral approximation of value functions and optimal quantization of measures

    math.OC 2025-09 conditional novelty 6.0 of 10

    Polyhedral approximation of a convex function is shown to be controlled by the quantization error of the Monge-Ampère measure of its Legendre-Fenchel dual, yielding a k-center pruning algorithm.

Pith tools