59 citations · 208 across the 12 of their papers we have counts for
4 papers · 1 filter
On metastable configurations of small-world networks
R. Heylen, N. S. Skantzos, J. Busquets Blanco +1
We calculate the number of metastable configurations of Ising small-world networks which are constructed upon superimposing sparse Poisson random graphs onto a one-dimensional chai…
Cavity approach for real variables on diluted graphs and application to synchronization in small-world lattices
Nikos S Skantzos, Isaac Pérez Castillo, Jonathan P L Hatchett
We study XY spin systems on small world lattices for a variety of graph structures, e.g. Poisson and scale-free, superimposed upon a one dimensional chain. In order to solve this m…
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…
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…