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VII: 25, 273-283, LNM 321 (1973)

**PINSKY, Mark A.**

Fonctionnelles multiplicatives opératrices (Markov processes)

This paper presents results due to the author (*Advances in Probability,* **3**, 1973). The essential idea is to consider multiplicative functionals of a Markov process taking values in the algebra of bounded operators of a Banach space $L$. Such a functional defines a semi-group acting on bounded $L$-valued functions. This semi-group determines the functional. The structure of functionals is investigated in the case of a finite Markov chain. The case where $L$ is finite dimensional and the Markov process is Browian motion is investigated too. Asymptotic results near $0$ are described

Comment: This paper explores the same idea as Jacod (*Mém. Soc. Math. France,* **35**, 1973), though in a very different way. See 816

Keywords: Multiplicative functionals, Multiplicative kernels

Nature: Exposition

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VIII: 16, 290-309, LNM 381 (1974)

**MEYER, Paul-André**

Noyaux multiplicatifs (Markov processes)

This paper presents results due to Jacod (*Mém. Soc. Math. France,* **35**, 1973): given a pair $(X,Y)$ which jointly is a Markov process, and whose first component $X$ is a Markov process by itself, describe the conditional distribution of the joint path of $(X,Y)$ over a given path of $X$. These distributions constitute a multiplicative kernel, and attempts are made to regularize it

Comment: Though the paper is fairly technical, it does not improve substantially on Jacod's results

Keywords: Multiplicative kernels, Semimarkovian processes

Nature: Exposition

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Fonctionnelles multiplicatives opératrices (Markov processes)

This paper presents results due to the author (

Comment: This paper explores the same idea as Jacod (

Keywords: Multiplicative functionals, Multiplicative kernels

Nature: Exposition

Retrieve article from Numdam

VIII: 16, 290-309, LNM 381 (1974)

Noyaux multiplicatifs (Markov processes)

This paper presents results due to Jacod (

Comment: Though the paper is fairly technical, it does not improve substantially on Jacod's results

Keywords: Multiplicative kernels, Semimarkovian processes

Nature: Exposition

Retrieve article from Numdam