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| Format: | Preprint |
| Publié: |
2023
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2307.12314 |
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| _version_ | 1866909120701923328 |
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| author | Gubbiotti, Giorgio |
| author_facet | Gubbiotti, Giorgio |
| contents | In this work I discuss briefly the calculation of the algebraic entropy for systems of quad equations. In particular, I observe that since systems of multilinear equations can have algebraic solution, in some cases one might need to restrict the direction of evolution only to the pair of vertices yielding a birational evolution. Some examples from the exiting literature are presented and discussed within this framework. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12314 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Algebraic entropy for systems of quad equations Gubbiotti, Giorgio Mathematical Physics Exactly Solvable and Integrable Systems 39A36 In this work I discuss briefly the calculation of the algebraic entropy for systems of quad equations. In particular, I observe that since systems of multilinear equations can have algebraic solution, in some cases one might need to restrict the direction of evolution only to the pair of vertices yielding a birational evolution. Some examples from the exiting literature are presented and discussed within this framework. |
| title | Algebraic entropy for systems of quad equations |
| topic | Mathematical Physics Exactly Solvable and Integrable Systems 39A36 |
| url | https://arxiv.org/abs/2307.12314 |