Transition probability estimates for reversible Markov chains (Q1977462)
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scientific article; zbMATH DE number 1447307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transition probability estimates for reversible Markov chains |
scientific article; zbMATH DE number 1447307 |
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Transition probability estimates for reversible Markov chains (English)
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18 May 2000
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The paper deals with the transition probability estimates of discrete time transient reversible Markov chains. Two parameters -- the Greenian index and the fractal dimension -- are used in the estimates for a class of the Markov chains with regular volume growth, without using the group structure or fractal similarity. The result extends the well-known Varopoulos theorem.
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ramdom walk
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Markov chain
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fractal
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dimension
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