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A uniform Linnik basic lemma and entropy bounds

  • Andreas Wieser

    Hebrew University of Jerusalem, Israel

  • Pengyu Yang

    Chinese Academy of Sciences, Beijing, P. R. China
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Abstract

We prove a version of Linnik’s basic lemma uniformly over the base field using -series and geometric invariant theory in the spirit of Khayutin’s approach [Duke Math. J. 168 (2019)]. As an application, we establish entropy bounds for weak*-limits of invariant measures on homogeneous toral sets in of biquadratic, cyclic, or dihedral type.

Cite this article

Andreas Wieser, Pengyu Yang, A uniform Linnik basic lemma and entropy bounds. Comment. Math. Helv. (2026), published online first

DOI 10.4171/CMH/613