Exact Probing of Glassy States by Survey Propagation

Abstract
After briefly reviewing the theoretical set up underlying the Survey Propagation (SP) equations, we show how SP can be generalized to include external forcing – external surveys – which allow to address selectively glassy states (which may be exponentially numerous). Taking as working model the random K-SAT problem, we show that the geometrical nature of its different glassy phases can be probed efficiently. A preliminary application of this new algorithm to source coding (lossy data compression) is discussed.

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