A passage to the Poisson-Dirichlet through the Bessel square processes

TL;DR

This paper explores the connection between Poisson-Dirichlet distributions and Bessel square processes, aiming to deepen understanding of their mathematical relationship.

Contribution

It introduces a novel approach linking Poisson-Dirichlet distributions with Bessel square processes, providing new insights into their interplay.

Findings

Established a theoretical link between Poisson-Dirichlet and Bessel square processes

Derived new properties of Bessel processes related to Poisson-Dirichlet distributions

Proposed potential applications in stochastic modeling

Abstract

This paper has been withdrawn by the author.