Abstract
A stochastic iterative technique is used to obtain the origin magnetisation distribution of the site-diluted Ising ferromagnet on a rooted Cayley tree with coordination number z=3. This distribution shows marked morphological changes with temperature, crossing over from a broad distribution near the ferromagnetic phase boundary to a highly structured shape at lower temperatures. The large-scale structure of the intermediate- and low-temperature distributions-a superposition of similarly shaped but scaled peaks-can be understood on the basis of the contributions of clusters distinguished by their structure close to the origin.
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