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Perturbation of Transition Functions and a Feynman-Kac Formula for the Incorporation of Mortality
Authors:Timothy Lant  Horst R. Thieme
Affiliation:(1) Decision Center for a Desert City, Arizona State University, PO Box 878209, Tempe, AZ 85287-8209, USA;(2) Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287-1804, USA
Abstract:Markov transition kernels are perturbed by output kernels with a special emphasis on building mortality into structured population models. A Feynman-Kac formula is derived which illustrates the interplay of mortality with a Markov process associated with the unperturbed kernel. partially supported by NSF grants DMS-0314529 and SES-0345945 partially supported by NSF grants DMS-9706787 and DMS-0314529
Keywords:47D06  92D25  60J35
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