Topological features of interaction graphs determine whether locally interacting systems on planar graphs can sustain ordered phases, with implications for biological self-organization versus limitations in autoregressive models.
Magnetisation and mean field theory in the Ising model
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Topological constraints on self-organisation in locally interacting systems
Topological features of interaction graphs determine whether locally interacting systems on planar graphs can sustain ordered phases, with implications for biological self-organization versus limitations in autoregressive models.