35 citations · 75 across the 5 of their papers we have counts for
5 papers
Singular and regular solutions of a non-linear parabolic system
Petr Plechac, Vladimir Sverak
We study a dissipative nonlinear equation modelling certain features of the Navier-Stokes equations. We prove that the evolution of radially symmetric compactly supported initial d…
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…
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…
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…
Spin Glasses on Thin Graphs
C. F. Baillie, W. Janke, D. A. Johnston +1
In a recent paper we found strong evidence from simulations that the Isingantiferromagnet on ``thin'' random graphs - Feynman diagrams - displayed amean-field spin glass transition…