Počet záznamů: 1
Survival of contact processes on the hierarchical group
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SYSNO ASEP 0342729 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Survival of contact processes on the hierarchical group Tvůrce(i) Athreya, S.R. (IN)
Swart, Jan M. (UTIA-B) RID, ORCIDZdroj.dok. Probability Theory and Related Fields. - : Springer - ISSN 0178-8051
Roč. 147, č. 3 (2010), s. 529-563Poč.str. 35 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova contact process ; survival ; hierarchical group ; coupling ; renormalization group Vědní obor RIV BA - Obecná matematika CEP GA201/06/1323 GA ČR - Grantová agentura ČR CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000277028200005 EID SCOPUS 77951938848 DOI 10.1007/s00440-009-0214-x Anotace 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. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2011
Počet záznamů: 1