Christof Kuelske
Published 2025-01-09Version 1
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.
The Uniform Even Subgraph and Its Connection to Phase Transitions of Graphical Representations of the Ising Model
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
The 1-2 model: dimers, polygons, the Ising model, and phase transition
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