EQUILIBRIUM AND LAST-EXIT DISTRIBUTION
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Graphical Abstract
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Abstract
The last-exit distribution L for a compact K in potential theory is generally submarkovian. In this paper, the uniqueness and the existence of an invariant measure of L as denoted are proved under Ohung’s analytical conditions (See 3). The relation between the invariant measure and the equilibrium measure is established. An ergodic theorem which-inoludes Birkhoff’s theorem as a special case is found out.
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