Continuous Multiset Combinatorics: A Measure-Theoretic Extension of Multiplicity Structures
Abstract
We extend multiset combinatorics to the continuous setting by allowing multiplicities to take non‑negative real values. This reveals that classical multiset combinations correspond to discrete Dirichlet‑type distributions, while the continuous theory connects naturally to Dirichlet and Poisson–Dirichlet measures. The paper forms the continuous analogue of the multiplicity–selection–partition framework.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Probability and Statistical Research
Bayesian Methods and Mixture Models
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 8 February 2026
- Language
- EN
- Document type
- Preprint