Deterministic representations for position dependent random maps

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dc.contributor.authorBahsoun, Wael
dc.contributor.authorBose, Christopher
dc.contributor.authorQuas, Anthony
dc.date.accessioned2010-02-19T22:49:10Z
dc.date.available2010-02-19T22:49:10Z
dc.date.copyright2008en
dc.date.issued2010-02-19T22:49:10Z
dc.description.abstractWe give a deterministic representation for position dependent random maps and describe the structure of its set of invariant measures. Our construction generalizes the skew product representation of random maps with constant probabilities. In particular, we establish one-to-one correspondence between eigenfunctions of the Frobenius-Perron (transfer) operator for the random map and that of the skew. An immediate consequence is one-to-one correspondence between absolutely continuous invariant measures (acims) for the position dependent random map and acims for its deterministic representation.en
dc.description.sponsorshipPIMS Postdoctoral Fellowship 2004-06, NSERCen
dc.identifier.urihttp://hdl.handle.net/1828/2240
dc.language.isoenen
dc.relation.ispartofseriesDSM-863-IRen
dc.subjectrandom map
dc.subjectskew product
dc.subjectabsolutely continuous invariant measure
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleDeterministic representations for position dependent random mapsen
dc.typeTechnical Reporten

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