# Probabilistic approach in potential theory to the equilibrium problem

Annales de l'institut Fourier (1973)

- Volume: 23, Issue: 3, page 313-322
- ISSN: 0373-0956

## Access Full Article

top## Abstract

top## How to cite

topChung, Kai Lai. "Probabilistic approach in potential theory to the equilibrium problem." Annales de l'institut Fourier 23.3 (1973): 313-322. <http://eudml.org/doc/74141>.

@article{Chung1973,

abstract = {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.},

author = {Chung, Kai Lai},

journal = {Annales de l'institut Fourier},

language = {eng},

number = {3},

pages = {313-322},

publisher = {Association des Annales de l'Institut Fourier},

title = {Probabilistic approach in potential theory to the equilibrium problem},

url = {http://eudml.org/doc/74141},

volume = {23},

year = {1973},

}

TY - JOUR

AU - Chung, Kai Lai

TI - Probabilistic approach in potential theory to the equilibrium problem

JO - Annales de l'institut Fourier

PY - 1973

PB - Association des Annales de l'Institut Fourier

VL - 23

IS - 3

SP - 313

EP - 322

AB - 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.

LA - eng

UR - http://eudml.org/doc/74141

ER -

## References

top- [1] M. BRELOT, Les étapes et les aspects multiples de la théorie du potentiel, L'Enseignement mathématique, 58 (1972), 1-36. Zbl0235.31002MR51 #8436
- [2] K. ITO and H.P. McKEAN, Diffusion Processes and Their Sample Paths, Springer-Verlag, 1965. Zbl0127.09503MR33 #8031
- [3] H.P. McKEAN, A probabilistic interpretation of equilibrium charge distribution, J. Math. Kyoto Univ., 4 (1965), 617-623. Zbl0192.24901MR32 #3130

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.