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2001-05-31Buch DOI: 10.18452/3543
Asymptotics of locally interacting Markov chains with global signals
dc.contributor.authorHorst, Ulrich
dc.date.accessioned2017-06-15T21:20:06Z
dc.date.available2017-06-15T21:20:06Z
dc.date.created2005-10-12
dc.date.issued2001-05-31
dc.identifier.issn1436-1086
dc.identifier.urihttp://edoc.hu-berlin.de/18452/4195
dc.description.abstractWe study the long run behaviour of interactive Markov chains on infinite product spaces. The behaviour at a single site is influenced by the local situation in some neighborhood and by a random signal about the average situation throughout the whole system. The asymptotic behaviour of such Markov chains is analyzed on the microscopic level and on the macroscopic level of empirical fields. We give sufficient conditions for convergence on the macroscopic level. Combining a convergence result from the theory of random systems with complete connections with a perturbation of the Dobrushin-Vasserstein contraction technique we show that macroscopic convergence implies that the underlying Microscopic process has local asymptotic loss of memory.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Wirtschaftswissenschaftliche Fakultät
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectMarkov chains on infinite product spaceseng
dc.subjectcontraction techniqueseng
dc.subjectGibbs measureseng
dc.subjectlocal asymptotic loss of memoryeng
dc.subject.ddc330 Wirtschaft
dc.titleAsymptotics of locally interacting Markov chains with global signals
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10049599
dc.identifier.doihttp://dx.doi.org/10.18452/3543
local.edoc.pages38
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2001
dc.identifier.zdb2135319-0
bua.series.nameSonderforschungsbereich 373: Quantification and Simulation of Economic Processes
bua.series.issuenumber2001,29

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