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A local limit theorem for directed polymers in random media: the continuous and the discrete case. (English) Zbl 1104.60067
Although a weaker form of diffusive behaviour, namely a central limit theorem, was known for the continuous model, the more precise local limit result is new in this case.

MSC:
60K37 Processes in random environments
60F05 Central limit and other weak theorems
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
82D60 Statistical mechanical studies of polymers
82D30 Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses)
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