64 citations · 204 across the 4 of their papers we have counts for
4 papers
Finitely connected vector spin systems with random matrix interactions
A. Coolen, N. S. Skantzos, I. Perez Castillo +4
We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal m…
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…