4 papers · 1 filter
Coincidence of critical points for directed polymers for general environments and random walks
Stefan Junk, Hubert Lacoin
For the directed polymer in a random environment (DPRE), two critical inverse-temperatures can be defined. The first one, , separates the strong disorder regime (in which the…
Strong disorder and very strong disorder are equivalent for directed polymers
Stefan Junk, Hubert Lacoin
We show that if the normalized partition function of the directed polymer model on converges to zero, then it does so exponentially fast. This implies that t…
Equivalence of fluctuations of discretized SHE and KPZ equations in the subcritical weak disorder regime
Stefan Junk, Shuta Nakajima
We study the fluctuations of discretized versions of the stochastic heat equation (SHE) and the Kardar-Parisi-Zhang (KPZ) equation in spatial dimensions in the weak disor…
The tail distribution of the partition function for directed polymer in the weak disorder phase
Stefan Junk, Hubert Lacoin
We investigate the upper tail distribution of the partition function of the directed polymer in a random environment on in the weak disorder phase. We show that the d…