EQUILIBRIUM AND LAST-EXIT DISTRIBUTION

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.