Random walks on the discrete affine group (Q2076057)
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scientific article; zbMATH DE number 7476303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random walks on the discrete affine group |
scientific article; zbMATH DE number 7476303 |
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Random walks on the discrete affine group (English)
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18 February 2022
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Summary: We introduce the discrete affine group of a regular tree as a finitely generated subgroup of the affine group. We describe the Poisson boundary of random walks on it as a space of configurations. We compute isoperimetric profile and Hilbert compression exponent of the group. We also discuss metric relationship with some lamplighter groups and lamplighter graphs.
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affine group of a tree
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random walks
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Poisson boundary
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