Asymptotic mass distribution of random holomorphic sections

Key Points

• The research aims to establish a central limit theorem for the mass distribution of random holomorphic sections.
• Proved a central limit theorem for mass distribution.
• Analyzed sequences of positive line bundles.
• Utilized C^3 Hermitian metrics.
• Investigated quantum ergodicity in random holomorphic sections.
• Established a central limit theorem for the examined mass distribution.
• Showed that almost every sequence of random holomorphic sections displays quantum ergodicity.
• Found a connection between mass distribution and quantum behavior in Kähler manifolds.