@article{c0a1218c3740497393a95c663ec7e8d2,
title = "Minkowski content of Brownian cut points",
abstract = "Let W(t), 0 ≤ t ≤ T , be a Brownian motion in Rd , d = 2, 3. We say that x is a cut point for W if x = W(t) for some t ∈ (0,T ) such that W[0, t) and W(t,T ] are disjoint. In this work, we prove that a.s. the Minkowski content of the set of cut points for W exists and is finite and non-trivial.",
keywords = "Brownian motion, Cut point, Minkowski content",
author = "Nina Holden and Lawler, {Gregory F.} and Xinyi Li and Xin Sun",
note = "Funding Information: The first author was supported in part by a fellowship from the Research Council of Norway and partially supported by Dr. Max R{\"o}ssler, the Walter Haefner Foundation, and the ETH Z{\"u}rich Foundation. The second author was supported by NSF grant DMS-1513036. The third author was supported by NSFC (No. 12071012) and the National Key R&D Program of China (No. 2020YFA0712900). The fourth author was supported by a Junior Fellow award from the Simons Foundation, and NSF Grant DMS-1811092 and DMS-2027986. Publisher Copyright: {\textcopyright} 2021 Institute of Mathematical Statistics. All rights reserved.",
year = "2021",
month = feb,
doi = "10.1214/21-AIHP1159",
language = "English (US)",
volume = "58",
pages = "455--488",
journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",
issn = "0246-0203",
publisher = "Institute of Mathematical Statistics",
number = "1",
}