Introduction to Phase Transitions in Random Optimization Problems

@inproceedings{Monasson2008IntroductionTP,
title={Introduction to Phase Transitions in Random Optimization Problems},
author={R'emi Monasson},
year={2008}
}

The connection between the statistical physics of disordered systems and optimization problems in computer science dates back from twenty years at least [43]. After all zero temperature statistical physics is simply the search for the state with minimal energy, while the main problem in combinatorial optimization is to look for the configurations of parameters minimizing some cost function (the length of a tour in the traveling salesman problem (TSP), the number of violated constraints in… CONTINUE READING