Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees
Probability
2025-02-17 v1 Functional Analysis
Abstract
Ewens' sampling formula (ESF) provides the probability distribution governing the number of distinct genetic types and their respective frequencies at a selectively neutral locus under the infinitely-many-alleles model of mutation. A natural and significant question arises: ``Is the Ewens probability distribution on regular trees Gibbsian?" In this paper, we demonstrate that Ewens probability distributions can be regarded as non-Gibbsian distributions on regular trees and derive a sufficient condition for the consistency condition. This study lays the groundwork for a new direction in the theory of non-Gibbsian probability distributions on trees.
Keywords
Cite
@article{arxiv.2502.10114,
title = {Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees},
author = {F. H. Haydarov and Z. E. Mustafoyeva and U. A. Rozikov},
journal= {arXiv preprint arXiv:2502.10114},
year = {2025}
}
Comments
13 pages