Messages on Networks as a Many-Body Problem

TL;DR

This paper introduces a physics-inspired framework to analyze the average behavior of messages on networks, simplifying complex calculations and demonstrating broad applicability across various network types.

Contribution

It applies many-body physics concepts to network message analysis, providing a novel, simplified approach for calculating average message properties.

Findings

Framework effectively simplifies message analysis on networks.

Demonstrated applicability to a broad class of networks and protocols.

Provides a new perspective linking physics and network theory.

Abstract

In this paper we initiate an approach that deals with the problem of calculating average properties of messages traveling on networks, by employing concepts and methods that are used for the study of the many-body problem in the field of physics. We set up a framework that simplifies enormously the problem and, through a concrete example, we show how it can be applied to a broad class of networks and protocols.