directed polymers

The intermediate disorder regime for directed polymers in dimension $1+1$
We introduce a new disorder regime for directed polymers in dimension $1+1$ that sits between the weak and strong disorder regimes. We …
Tom Alberts, Konstantin Khanin, Jeremy Quastel
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The continuum directed random polymer
Motivated by discrete directed polymers in one space and one time dimension, we construct a continuum directed random polymer that is …
Tom Alberts, Konstantin Khanin, Jeremy Quastel
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The near-critical scaling window for directed polymers on disordered trees
We study a directed polymer model in a random environment on infinite binary trees. The model is characterized by a phase transition …
Tom Alberts, Marcel Ortgiese
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