About: Survival of contact processes on the hierarchical group

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Survival of contact processes on the hierarchical group Survival of contact processes on the hierarchical group (en)
skos:prefLabel	Survival of contact processes on the hierarchical group Survival of contact processes on the hierarchical group (en)
skos:notation	RIV/67985556:_____/10:00342729!RIV11-GA0-67985556
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/06/1323), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Swart, Jan M.
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	291201
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/10:00342729
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	contact process; survival; hierarchical group; coupling; renormalization group (en)
http://linked.open.../riv/klicoveSlovo	renormalization group coupling survival contact process hierarchical group
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[8F24D3F1C181]
http://linked.open...i/riv/nazevZdroje	Probability Theory and Related Fields
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Probabilistic methods in the study of phase transitions of complex systems
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	147
http://linked.open...iv/tvurceVysledku	Swart, Jan M. Athreya, S. R.
http://linked.open...ain/vavai/riv/wos	000277028200005
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0178-8051
number of pages	35 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Survival of contact processes on the hierarchical group Survival of contact processes on the hierarchical group Survival of contact processes on the hierarchical group

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