A note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes

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dc.creatorHan, Guangyue
dc.creatorMarcus, Brian
dc.creatorPeres, Yuval
dc.date2009-05-15
dc.date.accessioned2026-07-07T13:15:35Z
dc.date.available2026-07-07T13:15:35Z
dc.descriptionIn this note, we show that small complex perturbations of positive matrices are contractions, with respect to a complex version of the Hilbert metric, on the standard complex simplex. We show that this metric can be used to obtain estimates of the domain of analyticity of entropy rate for a hidden Markov process when the underlying Markov chain has strictly positive transition probabilities.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0905.2479
dc.identifierhttp://arxiv.org/abs/0905.2479
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230513
dc.subjectDynamical Systems
dc.subjectInformation Theory
dc.titleA note on a complex Hilbert metric with application to domain of analyticity for entropy rate of hidden Markov processes
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