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Timeline for Ising model on groups

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Jan 17, 2011 at 3:36 comment added user6976 Physicists considered Ising model and percolation on trees (that is called the Bethe lattice). Cayley graphs of free groups with respect to arbitrary generating sets are much more complicated.
Jan 17, 2011 at 0:01 comment added Igor Rivin @Mark: thanks for the reference. I would have actually thought that the physicists would have looked at free groups quite early on ("Bethe Lattice")
Jan 16, 2011 at 22:07 comment added user6976 I can also add the PhD thesis of my former student Iva Spaculova. She studied the Ising model on groups with infinitely many ends, say, free groups (and arbitrary generating sets). It is more complicated (but somewhat similar) to percolation. See Iva's paper Špakulová, Iva, Critical percolation of virtually free groups and other tree-like graphs. Ann. Probab. 37 (2009), no. 6, 2262–2296.
Jan 16, 2011 at 21:16 history answered Igor Rivin CC BY-SA 2.5