Displaying similar documents to “The perfection of multiplicative functionals”

Additive functionals of Markov processes and stochastic systems

Evgeny B. Dynkin (1975)

Annales de l'institut Fourier

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Intuitively, an additive functional of a stochastic process ( x t , P ) gives a method to measure time taking into account the development of the process. We associate with any set of states C the mathematical expectation of time x t belongs to C . In this way, we establish to one-to-one correspondence between all the normal additive functionals of a Markov process and all the δ -finite measures on the state space which charge no inaccessible set. This is proved under the condition that transition...

Markov functions

Joseph Glover (1991)

Annales de l'I.H.P. Probabilités et statistiques

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