On sparsity of integral points in orbits and correspondences with big pullbacks under iterates
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917889507852288 |
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| author | Mello, Jorge |
| author_facet | Mello, Jorge |
| contents | We prove new unconditional results of sparsity of integral points on orbits under many maps and correspondences in arbitrary dimensions, generalizing theorems of Yasufuku(2015) and others. The main ingredients are new diophantine approximation tools and recent constructions for correspondences due to Ingram (2011). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04642 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On sparsity of integral points in orbits and correspondences with big pullbacks under iterates Mello, Jorge Number Theory Dynamical Systems We prove new unconditional results of sparsity of integral points on orbits under many maps and correspondences in arbitrary dimensions, generalizing theorems of Yasufuku(2015) and others. The main ingredients are new diophantine approximation tools and recent constructions for correspondences due to Ingram (2011). |
| title | On sparsity of integral points in orbits and correspondences with big pullbacks under iterates |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2501.04642 |