The annealed free energy of the output distribution from a rate-R random code decomposes into bulk and sparse branches whose competition yields an explicit phase diagram in the (β, R) plane meeting at the mutual information point.
Effective secrecy: Reliability, confusion and stealth,
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A Statistical-Physics Refinement of Soft Covering
The annealed free energy of the output distribution from a rate-R random code decomposes into bulk and sparse branches whose competition yields an explicit phase diagram in the (β, R) plane meeting at the mutual information point.