Number of the records: 1

Survival of contact processes on the hierarchical group

SYSNO ASEP	0342729
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Survival of contact processes on the hierarchical group
Author(s)	Athreya, S.R. (IN) Swart, Jan M. (UTIA-B)_{RID, ORCID}
Source Title	Probability Theory and Related Fields. - : Springer - ISSN 0178-8051 Roč. 147, č. 3 (2010), s. 529-563
Number of pages	35 s.
Language	eng - English
Country	DE - Germany
Keywords	contact process ; survival ; hierarchical group ; coupling ; renormalization group
Subject RIV	BA - General Mathematics
R&D Projects	GA201/06/1323 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000277028200005
EID SCOPUS	77951938848
DOI	10.1007/s00440-009-0214-x
Annotation	We consider contact processes on the hierarchical group, where sites infect other sites at a rate depending on their hierarchical distance, and sites become healthy with a constant recovery rate. If the infection rates decay too fast as a function of the hierarchical distance, then we show that the critical recovery rate is zero. On the other hand, we derive sufficient conditions on the speed of decay of the infection rates for the process to exhibit a nontrivial phase transition between extinction and survival. For our sufficient conditions, we use a coupling argument that compares contact processes on the hierarchical group with freedom two with contact processes on a renormalized lattice. An interesting novelty in this renormalization argument is the use of a result due to Rogers and Pitman on Markov functionals.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2011

Number of the records: 1