no. 3
Probabilistic approach in potential theory to the equilibrium problem
Annales de l'Institut Fourier, Tome 23 (1973) no. 3, pp. 313-322

A complete form of the classical theorem by Gauss-M. Riesz-Frostman is given for a large of Markov processes without the usual hypothesis of duality. The idea leads to a probabilistic solution of Robin’s problem and it is based on the last exit time from a transient set.

On donne une forme complète du théorème classique de Gauss-M. Riesz-Frostman pour une classe étendue de processus de Markoff, sans les hypothèses habituelles de dualité. L’idée mène à une solution probabiliste du problème de Robin et elle est basée sur le temps de la dernière sortie d’un ensemble transient.

Chung, Kai Lai. Probabilistic approach in potential theory to the equilibrium problem. Annales de l'Institut Fourier, Tome 23 (1973) no. 3, pp. 313-322. doi: 10.5802/aif.479
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[1] M. Brelot, Les étapes et les aspects multiples de la théorie du potentiel, L'Enseignement mathématique, 58 (1972), 1-36. | Zbl | MR

[2] K. Ito and H.P. Mckean, Diffusion Processes and Their Sample Paths, Springer-Verlag, 1965. | Zbl | MR

[3] H.P. Mckean, A probabilistic interpretation of equilibrium charge distribution, J. Math. Kyoto Univ., 4 (1965), 617-623. | Zbl | MR

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