V: 24, 251-269, LNM 191 (1971)
MEYER, Paul-André
Solutions de l'équation de Poisson dans le cas récurrent (
Potential theory,
Markov processes)
The problem is to solve the Poisson equation for measures, $\mu-\mu P=\theta$ for given $\theta$, in the case of a recurrent transition kernel $P$. Here a ``filling scheme'' technique is used
Comment: The paper was motivated by Métivier (
Ann. Math. Stat.,
40, 1969) and is completely superseded by one of Revuz (
Ann. Inst. Fourier, 21, 1971)
Keywords: Recurrent potential theory,
Filling scheme,
Harris recurrence,
Poisson equationNature: Original
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