Local limits and harmonic functions for nonisotropic random walks on free groups (Q1056966)
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scientific article; zbMATH DE number 3895978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local limits and harmonic functions for nonisotropic random walks on free groups |
scientific article; zbMATH DE number 3895978 |
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Local limits and harmonic functions for nonisotropic random walks on free groups (English)
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1986
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Nearest neighbour random walks on the homogeneous tree representing a free group with s generators \((2\leq s<\infty)\) are investigated. By use of generating functions and their analytic properties a local limit theorem is derived. A study of the harmonic functions corresponding to the random walk leads to properties that characterize the r-harmonic function connected with the local limits.
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random walks on the homogeneous tree representing a free group
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generating functions
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local limit theorem
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