Approximating parametric suprema for constructible and power-constructible functions

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Tijs Buggenhout, Mathias Stout, Lisa Vandebrouck
DOI: 10.48550/arxiv.2602.23126
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Mathematical and Theoretical Analysis Advanced Topology and Set Theory Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
26 February 2026
Language
EN
Document type
Preprint