A simple proof of the discreteness of Dirichlet processes

TL;DR

This paper provides a straightforward proof confirming that Dirichlet processes are almost surely discrete, reinforcing a well-known property with a concise argument.

Contribution

It offers a simple, clear proof of the discreteness of Dirichlet processes, enhancing understanding with minimal complexity.

Findings

Dirichlet processes are discrete with probability 1

The proof is concise and accessible

Reinforces a fundamental property of Dirichlet processes

Abstract

That Dirichlet processes are discrete with probability 1 is demonstrated once more. And yes, these two pages spent fifty years in Norwegian.