# Unique ergodicity of the automorphism group of the semigeneric directed graph

## TL;DR

This paper proves that the automorphism group of the semigeneric directed graph is uniquely ergodic, contributing to the understanding of its dynamical properties.

## Contribution

It establishes the unique ergodicity of the automorphism group of the semigeneric directed graph, a new result in the context of Cherlin's classification.

## Key findings

- Automorphism group is uniquely ergodic.
- Provides new insights into the dynamical behavior of semigeneric directed graphs.
- Advances understanding of automorphism groups in model theory.

## Abstract

We prove that the automorphism group of the semigeneric directed graph (in the sense of Cherlin's classification) is uniquely ergodic.