\'Equidistribution et diff\'erentiabilit\'e
Huayi Chen (IMJ)
TL;DR
This paper introduces a new criterion for equidistribution based on the differentiability of arithmetic invariants, offering a conceptual proof that complements existing methods.
Contribution
It presents a novel criterion linking equidistribution to differentiability of invariants, providing a new proof approach using the slope method and asymptotic measures.
Findings
New criterion for equidistribution based on differentiability
A conceptual proof of equidistribution results
Integration of slope method and asymptotic measures
Abstract
We propose a criterion of equidistribution by the differentiability of certain arithmetic invariants. Combined with the slope method and the asymptotic measures, this criterion gives a new "conceptual" proof to equidistribution results originally obtained via the variation principle.
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Taxonomy
TopicsFunctional Equations Stability Results