Approximating parametric suprema for constructible and power-constructible functions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917458289360896 |
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| author | Buggenhout, Tijs Stout, Mathias Vandebrouck, Lisa |
| author_facet | Buggenhout, Tijs Stout, Mathias Vandebrouck, Lisa |
| contents | We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam and Cluckers, which was posited after studying a question posed by Sarnak. We apply our result to prove that a certain subclass of Cexp-class distributions is tempered and to make uniform a bound concerning pushforward measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23126 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximating parametric suprema for constructible and power-constructible functions Buggenhout, Tijs Stout, Mathias Vandebrouck, Lisa Algebraic Geometry Logic Number Theory We prove that one may approximate parametric suprema of constructible and power-constructible functions using functions within the same class. This resolves a conjecture by Adiceam and Cluckers, which was posited after studying a question posed by Sarnak. We apply our result to prove that a certain subclass of Cexp-class distributions is tempered and to make uniform a bound concerning pushforward measures. |
| title | Approximating parametric suprema for constructible and power-constructible functions |
| topic | Algebraic Geometry Logic Number Theory |
| url | https://arxiv.org/abs/2602.23126 |