Learning Centre

Yukawa potential, panharmonic measure and Brownian motion

 |  Login

Show simple item record

dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Rasila, Antti
dc.contributor.author Sottinen, Tommi
dc.date.accessioned 2018-06-18T09:17:46Z
dc.date.available 2018-06-18T09:17:46Z
dc.date.issued 2018-05-01
dc.identifier.citation Rasila , A & Sottinen , T 2018 , ' Yukawa potential, panharmonic measure and Brownian motion ' , Axioms , vol. 7 , no. 2 , 28 , pp. 1-13 . https://doi.org/10.3390/axioms7020028 en
dc.identifier.issn 2075-1680
dc.identifier.other PURE UUID: 065dbd97-a489-4d12-810c-87f42384af94
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/065dbd97-a489-4d12-810c-87f42384af94
dc.identifier.other PURE LINK: http://www.scopus.com/inward/record.url?scp=85046648112&partnerID=8YFLogxK
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/21523081/axioms_07_00028.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/31873
dc.description.abstract This paper continues our earlier investigation, where a walk-on-spheres (WOS) algorithm for Monte Carlo simulation of the solutions of the Yukawa and the Helmholtz partial differential equations (PDEs) was developed by using the Duffin correspondence. In this paper, we investigate the foundations behind the algorithm for the case of the Yukawa PDE. We study the panharmonic measure, which is a generalization of the harmonic measure for the Yukawa PDE. We show that there are natural stochastic definitions for the panharmonic measure in terms of the Brownian motion and that the harmonic and the panharmonic measures are all mutually equivalent. Furthermore, we calculate their Radon-Nikodym derivatives explicitly for some balls, which is a key result behind the WOS algorithm. en
dc.format.extent 1-13
dc.format.mimetype application/pdf
dc.language.iso en en
dc.relation.ispartofseries Axioms en
dc.relation.ispartofseries Volume 7, issue 2 en
dc.rights openAccess en
dc.title Yukawa potential, panharmonic measure and Brownian motion en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Department of Mathematics and Systems Analysis
dc.contributor.department University of Vaasa
dc.subject.keyword Bessel functions
dc.subject.keyword Brownian motion
dc.subject.keyword Duffin correspondence
dc.subject.keyword Harmonic measure
dc.subject.keyword Monte Carlo simulation
dc.subject.keyword Panharmonic measure
dc.subject.keyword Potential theory
dc.subject.keyword Walk-on-spheres algorithm
dc.subject.keyword Yukawa equation
dc.identifier.urn URN:NBN:fi:aalto-201806183291
dc.identifier.doi 10.3390/axioms7020028
dc.type.version publishedVersion

Files in this item

Files Size Format View

There are no open access files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search archive

Advanced Search

article-iconSubmit a publication