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

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

2008-12-12

arxiv.org/abs/0812.2454v1

Computer Science

Information Theory

Submitted to IEEE Trans. on Information Theory

Scientific paper

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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