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Title:
Critical manifolds in pure and quenched random systems from topological graph polynomials
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Abstract:
The critical temperature is only known analytically for the simplest two-dimensional models (Ising model), or for more complicated models (Potts and O(n) vector models) on the simplest possible lattices. The known critical temperatures are invariably given by simple algebraic curves. These results can be derived by duality arguments or integrability results, and some have recently been proved mathematically by the technique of discrete Holomorphicity.
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