The Contact Process Seen from a Typical Infected Site

Jan M. Swart ()
Additional contact information
Jan M. Swart: Institute of Information Theory and Automation of the ASCR (ÚTIA)

Journal of Theoretical Probability, 2009, vol. 22, issue 3, 711-740

Abstract: Abstract This paper studies contact processes on general countable groups. It is shown that any such contact process has a well-defined exponential growth rate, and this quantity is used to study the process. In particular, it is proved that on any nonamenable group, the critical contact process dies out.

Keywords: Critical contact process; Exponential growth; Amenability; Campbell law; 60K35; 82C22; 82B43 (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-008-0184-4 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:jotpro:v:22:y:2009:i:3:d:10.1007_s10959-008-0184-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-008-0184-4

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().