The Ising model: Highlights and perspectives
Christof Kuelske

TL;DR
This paper provides a non-technical overview of the Ising model, highlighting its successes and challenges in probability and mathematical physics, including phase transitions, scaling, and universality.
Contribution
It offers a concise summary of key concepts and recent developments in the study of the Ising model, emphasizing its theoretical significance and open problems.
Findings
Discussion of phase transition theory in the Ising model
Insights into scaling and renormalization group methods
Overview of universality and disordered systems
Abstract
We give a short non-technical introduction to the Ising model, and review some successes as well as challenges which have emerged from its study in probability and mathematical physics. This includes the infinite-volume theory of phase transitions, and ideas like scaling, renormalization group, universality, SLE, and random symmetry breaking in disordered systems and networks. This note is based on a talk given on 15 August 2024, as part of the Ising lecture during the 11th Bernoulli-IMS world congress, Bochum.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsOpinion Dynamics and Social Influence
