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The Ising model: Highlights and perspectives

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arxiv 2501.05394 v1 pith:HOQITFVZ submitted 2025-01-09 math.PR math-phmath.MP

Christof Kuelske This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords isingmodelaugustbernoulli-imsbochumbreakingchallengescongress
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Neuronal Model at the Edge of Criticality: An Ising-Inspired Approach to Brain Dynamics

    q-bio.NC 2025-06 conditional novelty 4.0 of 10

    An Ising-like neuron model with refractory on/off periods shows fluctuations, long-range correlations, and power-law cluster sizes near a noise level labeled T_c = 18.

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