Large deviation principles for Abelian monoids
Abstract
Following work of Mehrdad and Zhu [11] and of Liu [9, 10], we prove a large deviation principle for a broad class of integer-valued additive functions defined over abelian monoids. As a corollary, we obtain a large deviation principle for a generalized form of the Erdős–Kac theorem due to Liu.
Fields of Study & Subjects
Limits and Structures in Graph Theory
Advanced Topology and Set Theory
Computability
Logic
AI Algorithms
Publication details
- Journal / source
- Electronic Communications in Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN