Remarks on equilibrium potential and energy

Kai Lai Chung

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On a theorem of Cartan

Svend Erik Graversen, Murali Rao (1987)

Czechoslovak Mathematical Journal

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The excessive domination principle is equivalent to the weak sector condition

Zoran Vondraček (1990)

Séminaire de probabilités de Strasbourg

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Probabilistic approach in potential theory to the equilibrium problem

Kai Lai Chung (1973)

Annales de l'institut Fourier

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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.

A new setting for potential theory. I

Kai Lai Chung, K. Murali Rao (1980)

Annales de l'institut Fourier

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We consider a transient Hunt process in which the potential density $u$ satisfies the conditions: (a) for each $x$ , $u (x, y)^{- 1}$ is finite continuous in $y$ ; (b) $u (x, y) = + \infty$ iff $x = y$ . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).

Force and Energy

Charles Grant Blairfindie Allen

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