Pith. sign in

REVIEW 1 cited by

Scaling limit of the occupation measure of random walk cut points

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 2310.09592 v1 pith:MQAKA4QX submitted 2023-10-14 math.PR

Yifan Gao , Xinyi Li , Petr Panov , Daisuke Shiraishi This is my paper · ORCID
classification math.PR
keywords measureoccupationpointslimitrandomscalingwalkbrownian
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We consider the occupation measure of the cut points of a simple random walk on a $d$-dimensional cubic lattice for $d = 2, 3$, and we show that the scaling limit of the occupation measure in weak topology is the natural fractal measure on the Brownian cut points defined via its Minkowski content.

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. Convergence in natural parametrization of random walk frontier

    math.PR 2025-04 conditional novelty 6.0 of 10

    The frontier of a simple planar random walk, parameterized by the 4/3-dimensional Minkowski content of the Brownian frontier, converges weakly to the Brownian frontier in the natural-parametrization metric.

Pith tools