64 citations · 245 across the 8 of their papers we have counts for
8 papers
Dynamical replica analysis of quantum annealing
ACC Coolen, T Nikoletopoulos
Quantum annealing aims to provide a faster method for finding the minima of complicated functions, compared to classical computing, so there is an increasing interest in the relaxa…
Dynamic rewiring in small world networks
J. P. L. Hatchett, N. S. Skantzos, T. Nikoletopoulos
We investigate equilibrium properties of small world networks, in which both connectivity and spin variables are dynamic, using replicated transfer matrices within the replica symm…
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…
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…