Pith. sign in

REVIEW

Small deviation for the mutual intersection local time of Brownian motions

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 2404.09333 v1 pith:KS637I6N submitted 2024-04-14 math.PR

Xia Chen , Jian Song This is my paper · ORCID
classification math.PR
keywords varepsilonbiggbrownianfrac23intersectionlocalmotionsmutual
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this note, we establish the bounds \[ c\varepsilon^{\frac23}\le P\bigg\{\int_0^1\!\!\int_0^1\delta_0(B_s-\tilde{B}_r)dsdr\le \varepsilon \bigg\} \le C \varepsilon^{\frac23},\] for the mutual intersection local time of two independent 1-dimensional Brownian motions $B$ and $\tilde B$.

Discussion (0). Continue with ORCID to comment.

Pith tools