The strong Liouville property for a class of random walks (Q749045)
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scientific article; zbMATH DE number 4172101
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The strong Liouville property for a class of random walks |
scientific article; zbMATH DE number 4172101 |
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The strong Liouville property for a class of random walks (English)
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1990
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We prove that a positive harmonic function for a symmetric or centered irreducible probability measure on a countable group of polynomial growth of bounded order must be a constant. Put another way, the random walks associated to such measures have trivial Martin boundaries.
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Liouville property
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polynomial growth of bounded order
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Martin boundaries
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