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1987
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weak compactness arguments
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convergence theorems
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set-vanditional distribution of \(R_ n\) given \(S_ n=v\), a fixed but arbitrary state. It is shown that \(E(R_ n| S_ n=v)/(n+1)\) is invariant under the transformation taking \((S_ n)\) into its associated random walk. Let \(F^*\) be the hitting probability of 0 by the associated walk. This satisfies ratio limit theorems
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asymptotic growth rates
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weak law of large numbers
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occupation time
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open problems
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