Sökning: onr:"swepub:oai:DiVA.org:su-122912" >
First Passage Perco...
-
Alm, Sven ErickUppsala universitet,Analys och sannolikhetsteori
(författare)
First Passage Percolation on \(\mathbb {Z}^2\) : A Simulation Study
- Artikel/kapitelEngelska2015
Förlag, utgivningsår, omfång ...
-
2015-08-30
-
Springer Science and Business Media LLC,2015
-
printrdacarrier
Nummerbeteckningar
-
LIBRIS-ID:oai:DiVA.org:su-122912
-
https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-122912URI
-
https://doi.org/10.1007/s10955-015-1356-0DOI
-
https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-266689URI
Kompletterande språkuppgifter
-
Språk:engelska
-
Sammanfattning på:engelska
Ingår i deldatabas
Klassifikation
-
Ämneskategori:ref swepub-contenttype
-
Ämneskategori:art swepub-publicationtype
Anmärkningar
-
First passage percolation on is a model for describing the spread of an infection on the sites of the square lattice. The infection is spread via nearest neighbor sites and the time dynamic is specified by random passage times attached to the edges. In this paper, the speed of the growth and the shape of the infected set is studied by aid of large-scale computer simulations, with focus on continuous passage time distributions. It is found that the most important quantity for determining the value of the time constant, which indicates the inverse asymptotic speed of the growth, is , where are i.i.d. passage time variables. The relation is linear for a large class of passage time distributions. Furthermore, the directional time constants are seen to be increasing when moving from the axis towards the diagonal, so that the limiting shape is contained in a circle with radius defined by the speed along the axes. The shape comes closer to the circle for distributions with larger variability.
Ämnesord och genrebeteckningar
Biuppslag (personer, institutioner, konferenser, titlar ...)
-
Deijfen, MariaStockholms universitet,Matematiska institutionen,Stockholm Univ, Dept Math, S-10691 Stockholm, Sweden.(Swepub:su)deijf
(författare)
-
Uppsala universitetAnalys och sannolikhetsteori
(creator_code:org_t)
Sammanhörande titlar
-
Ingår i:Journal of statistical physics: Springer Science and Business Media LLC161:3, s. 657-6780022-47151572-9613
Internetlänk
Hitta via bibliotek
Till lärosätets databas