Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. (Q1411697)
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scientific article; zbMATH DE number 1998368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. |
scientific article; zbMATH DE number 1998368 |
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Long time behavior of the transition probability of a random walk with drift on an Abelian covering graph. (English)
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15 December 2003
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For a certain class of reversible random walks possibly with drift on an Abelian covering graph of a finite graph, using the technique of twisted transition operator, the author obtains the asymptotic behavior of the \(n\)-step transition probability \(p_n(x,y)\) as \(n \to \infty\) and gives an expression of the constant which appears in the asymptotics.
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random walks
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Abelian covering graph
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asymptotic behavior
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transition probability
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