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On the statistical physics of directed polymers in a random medium and their relation to tree codes

2008/12/12 by Merhav, Neri
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.0812.2454

Abstract

Using well-known results from statistical physics, concerning the almost-sure behavior of the free energy of directed polymers in a random medium, we prove that random tree codes achieve the distortion-rate function almost surely under a certain symmetry condition.

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