Alternative solutions to diluted p-spin models and XORSAT problems
<|reference_start|>Alternative solutions to diluted p-spin models and XORSAT problems: We derive analytical solutions for p-spin models with finite connectivity at zero temperature. These models are the statistical mechanics equivalent of p-XORSAT problems in theoretical computer science. We give a full characterization of the phase diagram: location of the phase transitions (static and dynamic), together with a description of the clustering phenomenon taking place in configurational space. We use two alternative methods: the cavity approach and a rigorous derivation.<|reference_end|>
@article{mezard2002alternative,
    title={Alternative solutions to diluted p-spin models and XORSAT problems},
    author={M. Mezard, F. Ricci-Tersenghi and R. Zecchina},
    journal={J. Stat. Phys. 111, 505 (2003)},
    year={2002},
    archivePrefix={arXiv},
    eprint={cond-mat/0207140},
    primaryClass={cond-mat.dis-nn cond-mat.stat-mech cs.DM}
}