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arxiv: 0812.2454 · v1 · submitted 2008-12-12 · 💻 cs.IT · math.IT

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

classification 💻 cs.IT math.IT
keywords randomcodesdirectedmediumphysicspolymersstatisticaltree
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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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