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.
Mathematics Subject Classification (2000) 47D06 - 92D25 - 60J35
Keywords (Markov) transition functions - stochastic continuity - output kernels - Hille-Yosida operators - forward equation - Markov processes - Feynman-Kac formula
partially supported by NSF grants DMS-0314529 and SES-0345945
partially supported by NSF grants DMS-9706787 and DMS-0314529