Anisotropic contact processes on homogeneous trees

Steven P. Lalley and Thomas M. Sellke

Stochastic Processes and their Applications, 2002, vol. 101, issue 2, 163-183

Abstract: Sufficient conditions are given for the existence of a weak survival phase in a homogeneous but not necessarily isotropic contact process on a homogeneous tree. These require that the contact process be homogeneous, that is, for any two vertices x,y of the tree there is an automorphism mapping x to y leaving the infection rates invariant; and that the contact process be weakly symmetric, that is, for each vertex there should be at least two incident edges with the same infection rate.

Keywords: Contact; process; Homogeneous; tree; Weak; survival (search for similar items in EconPapers)
Date: 2002
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304-4149(02)00126-6
Full text for ScienceDirect subscribers only

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:eee:spapps:v:101:y:2002:i:2:p:163-183

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().