31 citations · 42 across the 4 of their papers we have counts for
3 papers · 1 filter
Survey propagation for the cascading Sourlas code
Jonathan PL Hatchett, Yoshiyuki Kabashima
We investigate how insights from statistical physics, namely survey propagation, can improve decoding of a particular class of sparse error correcting codes. We show that a recentl…
Criticality on networks with topology-dependent interactions
C. V. Giuraniuc, J. P. L. Hatchett, J. O. Indekeu +4
Weighted scale-free networks with topology-dependent interactions are studied. It is shown that the possible universality classes of critical behaviour, which are known to depend o…
Statics and dynamics of the Lebwohl-Lasher model in the Bethe approximation
N. S. Skantzos, J. P. L. Hatchett
We study the Lebwohl-Lasher model for systems in which spin are arranged on random graph lattices. At equilibrium our analysis follows the theory of spin-systems on random graphs w…