64 citations · 245 across the 8 of their papers we have counts for
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Replica symmetry breaking in the `small world' spin glass
B Wemmenhove, T Nikoletopoulos, J P L Hatchett
We apply the cavity method to a spin glass model on a `small world' lattice, a random bond graph super-imposed upon a 1-dimensional ferromagnetic ring. We show the correspondence w…
Diagonalization of replicated transfer matrices for disordered Ising spin systems
T. Nikoletopoulos, A. C. C. Coolen
We present an alternative procedure for solving the eigenvalue problem of replicated transfer matrices describing disordered spin systems with (random) 1D nearest neighbor bonds an…
Analytic solution of attractor neural networks on scale-free graphs
I. Pérez Castillo, B. Wemmenhove, J. P. L. Hatchett +3
We study the influence of network topology on retrieval properties of recurrent neural networks, using replica techniques for diluted systems. The theory is presented for a network…
Parallel dynamics of disordered Ising spin systems on finitely connected random graphs
J. P. L. Hatchett, B. Wemmenhove, I. Perez Castillo +3
We study the dynamics of bond-disordered Ising spin systems on random graphs with finite connectivity, using generating functional analysis. Rather than disorder-averaged correlati…
Replicated Transfer Matrix Analysis of Ising Spin Models on `Small World' Lattices
T. Nikoletopoulos, A. C. C. Coolen, I. Perez-Castillo +3
We calculate equilibrium solutions for Ising spin models on `small world' lattices, which are constructed by super-imposing random and sparse Poissonian graphs with finite average…