35 citations · 75 across the 5 of their papers we have counts for
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hep-lat1997★ 4 cited
Vertex Models on Feynman Diagrams
D. A. Johnston, P. Plechac
The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graphs can be formulated economically by considering the N --> 1 limit of Hermitian m…
cond-mat.stat-mech1997
Why Loops Don't Matter
D. A. Johnston, P. Plechac
In a series of papers we have found identical behaviour for various spin models on thin random graphs - Feynman diagrams - and the corresponding Bethe lattices. In this note we obs…
hep-lat1997★ 18 cited
Potts Models on Feynman Diagrams
D. A. Johnston, P. Plechac
We investigate numerically and analytically Potts models on ``thin'' random graphs -- generic Feynman diagrams, using the idea that such models may be expressed as the N --> 1 limi…