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Directed Polymers in Random Environments
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Table of Contents

1 Introduction.- 2 Thermodynamics and Phase Transition.- 3 The martingale approach and the L2 region.- 4 Lattice versus tree.- 5 Semimartingale approach and localization transition.- 6 Log-Gamma polymer model.- 7 Kardar-Parisi-Zhang equation and universality.- 8 Variational formulas.

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