# Overlap synchronisation in multipartite random energy models

## TL;DR

This paper investigates a multipartite random energy model composed of coupled GREMs, establishing how the overlaps between different parts synchronize based on the overlaps of individual GREMs, illustrating a fundamental phenomenon called overlap synchronisation.

## Contribution

It provides the first explicit characterization of overlap synchronisation in multipartite random energy models with coupled GREMs.

## Key findings

- Derived the joint law of overlaps in multipartite models
- Established the phenomenon of overlap synchronisation
- Simplified understanding of coupled GREM interactions

## Abstract

In a multipartite random energy model, made of a number of coupled GREMs, we determine the joint law of the overlaps in terms of the ones of the single GREMs. This provides the simplest example of the so-called overlap synchronisation.