31 citations · 42 across the 4 of their papers we have counts for
8 papers
Counting solutions for the CDMA multiuser MAP demodulator
J. P. L. Hatchett, Jun-ichi Inoue
We evaluate the average number of locally minimal solutions for maximum-{\it a-posteriori} (MAP) demodulation in code-division multiple-access (CDMA) systems. For this purpose, we…
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…
Effects of Economic Interactions on Credit Risk
J. P. L. Hatchett, R. Kuehn
We study a credit risk model which captures effects of economic interactions on a firm's default probability. Economic interactions are represented as a functionally defined graph,…
Dynamical replica theoretic analysis of CDMA detection dynamics
J. P. L. Hatchett, M. Okada
We investigate the detection dynamics of the Gibbs sampler for code-division multiple access (CDMA) multiuser detection. Our approach is based upon dynamical replica theory which a…