The Ising model: highlights and perspectives
Christof Külske
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Source: Crossref
Published: Aug 2, 2025
DOI: 10.1007/s11040-025-09515-1
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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.
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