Moderate deviations for random fields and random complex zeroes

TL;DR

This paper establishes moderate deviation principles for random complex zeroes by deriving a new theorem on moderate deviations for random fields, advancing understanding of their probabilistic behavior.

Contribution

Introduces a novel theorem on moderate deviations for random fields, enabling analysis of moderate deviations for random complex zeroes.

Findings

Derived moderate deviation results for random complex zeroes

Established a new theorem on moderate deviations for random fields

Enhanced probabilistic understanding of random zeroes

Abstract

Moderate deviations for random complex zeroes are deduced from a new theorem on moderate deviations for random fields.