On an Upper Bound of the Euler Characteristic of the Wiener Sausage

Ondřej Honzl ()
Additional contact information
Ondřej Honzl: KPMS

Methodology and Computing in Applied Probability, 2014, vol. 16, issue 2, 331-353

Abstract: Abstract We study the asymptotic number of the connected components of the complement of a Wiener sausage in the plane. We prove the statement on the limit behaviour of the number of the connected components of the complement of a Wiener sausage with dependance on its radius. As the corollary we obtain the upper bound of the Euler characteristic of the Wiener sausage in the plane.

Keywords: Wiener sausage; Euler–Poincaré characteristic; The number of the complement of the connected component of a Wiener sausage in the plane; 60D05; 60J65 (search for similar items in EconPapers)
Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11009-013-9361-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:metcap:v:16:y:2014:i:2:d:10.1007_s11009-013-9361-8

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1007/s11009-013-9361-8

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().