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dc.contributor.authorMurray, Rua
dc.date.accessioned2009-01-07T01:36:56Z
dc.date.available2009-01-07T01:36:56Z
dc.date.issued2005
dc.identifier.citationMurray, R.(2005). Approximation of invariant measures for a class of maps with indifferent fixed points. University of Waikato, Mathematics Research Report Series II No. 106. Hamilton, New Zealand: University of Waikato.en
dc.identifier.urihttps://hdl.handle.net/10289/1745
dc.description.abstractCertain dynamical systems on the interval with neutrally stable repelling points admit invariant probability measures which are absolutely continuous with respect to Lebesgue measure. These maps are often used as a model of intermittent dynamics, since they exhibit polynomial rather than exponential decay of correlations (due to the absence of a spectral gap in the underlying transfer operator). This paper presents a class of these maps which are expanding (with convex branches) for which the invariant probability measures can be rigorously approximated by Ulam’s method (a sequence of finite rank approximations to the transfer operator). L1–convergence of the scheme is proved, and some numerical experiments are reported.en
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherUniversity of Waikatoen
dc.relation.ispartofseriesMathematics Research Report Series II
dc.subjectmathematicsen
dc.titleApproximation of invariant measures for a class of maps with indifferent fixed pointsen
dc.typeReporten
uow.relation.series106


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