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On the Statistical Physics of Directed Polymers in a Random Medium and Their Relation to Tree Codes

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1 Author(s)
Neri Merhav ; Department of Electrical Engineering, Technion¿Israel Institute of Technology, Haifa, Israel

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, not only on the average, but moreover, almost surely under a certain symmetry condition.

Published in:

IEEE Transactions on Information Theory  (Volume:56 ,  Issue: 3 )