A multi-dimensional renewal theorem for finite Markov chains (Q920487)

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scientific article; zbMATH DE number 4163870
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A multi-dimensional renewal theorem for finite Markov chains
scientific article; zbMATH DE number 4163870

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    A multi-dimensional renewal theorem for finite Markov chains (English)
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    1990
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    We investigate the asymptotic behaviour of \(\sum^{\infty}_{n=0}L^{n*}*F(t)\), as \(| t| \to \infty\). Here L and F are matrix valued functions on \({\mathbb{Z}}^ d\).
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    multi-dimensional renewal theorem
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    first passage problem
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    matrix valued functions
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