Interacting Particle Systems on Random Graphs
F. Capannoli, F. den Hollander
TL;DR
This paper provides an overview of interacting particle systems on random graphs, highlighting recent developments at the intersection of probability, combinatorics, physics, and network science.
Contribution
It offers a personal snapshot of the rapidly developing research area of particle systems on random graphs, summarizing key concepts and recent advances.
Findings
Summarizes recent theoretical progress
Connects probability theory with network science
Highlights interdisciplinary research trends
Abstract
The present overview of interacting particle systems on random graphs collects the notes of a mini-course given by the authors at the Brazilian School of Probability, 5--9 August 2024, in Salvador, Bahia, Brazil. The content is a personal snapshot of an interesting area of research at the interface between probability theory, combinatorics, statistical physics and network science that is developing rapidly.
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Taxonomy
TopicsComplex Network Analysis Techniques