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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