Large deviation principles for abelian monoids
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918075971928064 |
|---|---|
| author | Keliher, Daniel Park, Sun Woo |
| author_facet | Keliher, Daniel Park, Sun Woo |
| contents | Following work of Mehrdad and Zhu and of Liu, 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_16970 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Large deviation principles for abelian monoids Keliher, Daniel Park, Sun Woo Number Theory Probability 11N80, 11K65, 60B15, 20M32 Following work of Mehrdad and Zhu and of Liu, 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. |
| title | Large deviation principles for abelian monoids |
| topic | Number Theory Probability 11N80, 11K65, 60B15, 20M32 |
| url | https://arxiv.org/abs/2506.16970 |