title   
  

Asymptotic mass distribution of random holomorphic sections

Bayraktar, Turgay and Bojnik, Afrim (2026) Asymptotic mass distribution of random holomorphic sections. Analysis and Mathematical Physics, 16 (2). ISSN 1664-2368 (Print) 1664-235X (Online)

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Abstract

In this note, we prove a central limit theorem for the mass distribution of random holomorphic sections associated with a sequence of positive line bundles endowed with C3 Hermitian metrics over a compact Kähler manifold. In addition, we show that almost every sequence of such random holomorphic sections exhibits quantum ergodicity in the sense of Zelditch.
Item Type: Article
Additional Information: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Uncontrolled Keywords: Asymptotic normality; Bergman kernel asymptotics; Compact Kähler manifolds; Mass distribution; Random holomorphic sections
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Turgay Bayraktar
Date Deposited: 10 Apr 2026 11:36
Last Modified: 10 Apr 2026 11:36
URI: https://research.sabanciuniv.edu/id/eprint/53807

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