On the growth of friezes via theta functions
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910122095149056 |
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| author | Plamondon, Pierre-Guy Stella, Salvatore |
| author_facet | Plamondon, Pierre-Guy Stella, Salvatore |
| contents | We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfied by theta functions. This generalizes previous results in affine types~$ADE$ by several groups of authors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10365 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the growth of friezes via theta functions Plamondon, Pierre-Guy Stella, Salvatore Combinatorics Representation Theory 13F60 05E10 We prove that the infinite friezes arising from the tubes of a given cluster algebra of acyclic affine type all have the same growth coefficients. Our proof uses identities satisfied by theta functions. This generalizes previous results in affine types~$ADE$ by several groups of authors. |
| title | On the growth of friezes via theta functions |
| topic | Combinatorics Representation Theory 13F60 05E10 |
| url | https://arxiv.org/abs/2604.10365 |