Explosive Percolation in Social and Physical Networks

TL;DR

This paper explores models of social and physical networks that undergo rapid, explosive transitions in connectivity, providing insights into their behavior and potential applications.

Contribution

It introduces and analyzes random network models with provably explosive percolation transitions, highlighting their significance in understanding network dynamics.

Findings

Networks exhibit sharp phase transitions

Models demonstrate provable explosive behavior

Applications in social and physical systems

Abstract

We discuss several interesting random network models which exhibit (provable) explosive transitions and their applications.