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.
The Ising model: Highlights and perspectives
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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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A Neuronal Model at the Edge of Criticality: An Ising-Inspired Approach to Brain Dynamics
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.