34 citations · 39 across the 2 of their papers we have counts for
7 papers · 1 filter
Spectra of Modular and Small-World Matrices
R. Kuehn, J. M. van Mourik
We compute spectra of symmetric random matrices describing graphs with general modular structure and arbitrary inter- and intra-module degree distributions, subject only to the con…
Average and reliability error exponents in low-density parity-check codes
N. S. Skantzos, J. van Mourik, D. Saad +1
We present a theoretical method for a direct evaluation of the average and reliability error exponents in low-density parity-check error-correcting codes using methods of statistic…
Critical Noise Levels for LDPC decoding
J. van Mourik, D. Saad, Y. Kabashima
We determine the critical noise level for decoding low density parity check error correcting codes based on the magnetization enumerator ($\cM$), rather than on the weight enumerat…
Statistical mechanics of typical set decoding
Yoshiyuki Kabashima, Kazutaka Nakamura, Jort van Mourik
The performance of ``typical set (pairs) decoding'' for ensembles of Gallager's linear code is investigated using statistical physics. In this decoding, error happens when the info…
Solvable Lattice Gas Models of Random Heteropolymers at Finite Density: II. Dynamics and Transitions to Compact States
H. Chakravorty, J. van Mourik, A. C. C. Coolen
In this paper we analyse both the dynamics and the high density physics of the infinite dimensional lattice gas model for random heteropolymers recently introduced in \cite{jort}.…
Cluster derivation of Parisi's RSB solution for disordered systems
J. van Mourik, A. C. C. Coolen
We propose a general scheme in which disordered systems are allowed to sacrifice energy equi-partitioning and separate into a hierarchy of ergodic sub-systems (clusters) with diffe…