31 citations · 36 across the 2 of their papers we have counts for
6 papers · 1 filter
Parallel dynamics of disordered Ising spin systems on finitely connected directed random graphs with arbitrary degree distributions
Kazushi Mimura, A. C. C. Coolen
We study the stochastic parallel dynamics of Ising spin systems defined on finitely connected directed random graphs with arbitrary degree distributions, using generating functiona…
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…
Dynamical replica analysis of disordered Ising spin systems on finitely connected random graphs
J. P. L. Hatchett, I. Pérez Castillo, A. C. C. Coolen +1
We study the dynamics of macroscopic observables such as the magnetization and the energy per degree of freedom in Ising spin models on random graphs of finite connectivity, with r…
Slowly evolving geometry in recurrent neural networks I: extreme dilution regime
B. Wemmenhove, N. S. Skantzos, A. C. C. Coolen
We study extremely diluted spin models of neural networks in which the connectivity evolves in time, although adiabatically slowly compared to the neurons, according to stochastic…
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…