# Limiting entropy of determinantal processes

## TL;DR

This paper extends Lyons's tree entropy theorem to general determinantal measures and shows that the sofic entropy of an invariant determinantal measure is independent of the sofic approximation used.

## Contribution

It generalizes the tree entropy theorem to broader determinantal measures and establishes invariance of sofic entropy for these measures.

## Key findings

- Extended Lyons's tree entropy theorem to determinantal measures
- Proved invariance of sofic entropy under different approximations
- Enhanced understanding of entropy properties in determinantal processes

## Abstract

We extend Lyons's tree entropy theorem to general determinantal measures. As a byproduct we show that the sofic entropy of an invariant determinantal measure does not depend on the chosen sofic approximation.