2012

The intermediate disorder regime for directed polymers in dimension $1+1$

Alberts, Tom, Khanin, Konstantin, Quastel, Jeremy

Understand

We introduce a new disorder regime for directed polymers in dimension $1+1$ that sits between the weak and strong disorder regimes.

We call it the intermediate disorder regime.
It is accessed by scaling the inverse temperature parameter $\beta$ to zero as the polymer length $n$ tends to infinity.
The natural choice of scaling is $\beta_n:=\beta n^{-1/4}$.

Built on

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