Generically Mane set supports uniquely ergodic measure for residual cohomology class

Jianlu Zhang

REVIEW

Generically Mane set supports uniquely ergodic measure for residual cohomology class

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 1610.04552 v1 pith:7FYAHAVD submitted 2016-10-14 math.DS

Generically Mane set supports uniquely ergodic measure for residual cohomology class

Jianlu Zhang This is my paper

classification math.DS

keywords mathcalwidetildeergodicmeasureresidualsupportsuniquelyalways

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

0 comments

Share X Bluesky LinkedIn Reddit HN

read the original abstract

In this paper, we proved that for generic Tonelli Lagrangian, there always exists a residual set $\mathcal{G}\subset H^1(M,\mathbb{R})$ such that \[ \widetilde{\mathcal{M}}(c)=\widetilde{\mathcal{A}}(c)=\widetilde{\mathcal{N}}(c),\quad \forall c\in\mathcal{G} \] with $\widetilde{\mathcal{M}}(c)$ supports on a uniquely ergodic measure.

Generically Mane set supports uniquely ergodic measure for residual cohomology class

discussion (0)