Limits of harmonic functions on $\mathbb{Z}^d$
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909440337248256 |
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| author | de Naurois, Ferdinand Jacobé |
| author_facet | de Naurois, Ferdinand Jacobé |
| contents | We give an example of a sequence of positive harmonic functions on $\mathbb{Z}^d$, $d\geq 2$, that converges pointwise to a non-harmonic function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18465 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Limits of harmonic functions on $\mathbb{Z}^d$ de Naurois, Ferdinand Jacobé Group Theory 20K15 We give an example of a sequence of positive harmonic functions on $\mathbb{Z}^d$, $d\geq 2$, that converges pointwise to a non-harmonic function. |
| title | Limits of harmonic functions on $\mathbb{Z}^d$ |
| topic | Group Theory 20K15 |
| url | https://arxiv.org/abs/2412.18465 |