Random walks with internal degrees of freedom. III: Stationary probabilities (Q1065463)
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scientific article; zbMATH DE number 3923808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random walks with internal degrees of freedom. III: Stationary probabilities |
scientific article; zbMATH DE number 3923808 |
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Random walks with internal degrees of freedom. III: Stationary probabilities (English)
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1986
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By developing further the method of our previous paper [Z. Wahrscheinlichkeitstheor. Verw. Geb. 68, 53-64 (1984; Zbl 0535.60059)] based upon the Keldysh expansion of the resolvent, the asymptotics of the stationary distribution of a random walk with internal states between two barriers at 0 and L is obtained when \(L\to \infty\). The boundary terms appearing in the asymptotical expressions are strongly connected with boundary effects in heat conduction.
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Keldysh expansion of the resolvent
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stationary distribution
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boundary effects in heat conduction
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