%0 Journal Article %T On the statistical physics of directed polymers in a random medium and their relation to tree codes %A Neri Merhav %J Mathematics %D 2008 %I arXiv %X 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. %U http://arxiv.org/abs/0812.2454v1