11 citations · 18 across the 4 of their papers we have counts for
4 papers
New characterization of the weak disorder phase of directed polymers in bounded random environments
Stefan Junk
We show that the weak disorder phase for the directed polymer model in a bounded random environment is characterized by the integrability of the running supremum $\sup_{n\in \mathb…
Stability of weak disorder phase for directed polymer with applications to limit theorems
Stefan Junk
We study the directed polymer model in a bounded environment with bond disorder and show that, in the interior of the weak disorder phase, weak disorder continues to hold upon pert…
Number of paths in oriented percolation as zero temperature limit of directed polymer
Ryoki Fukushima, Stefan Junk
We prove that the free energy of directed polymer in Bernoulli environment converges to the growth rate for the number of open paths in super-critical oriented percolation as the t…
Anomalous scaling regime for one-dimensional Mott variable-range hopping
David A. Croydon, Ryoki Fukushima, Stefan Junk
We derive an anomalous, sub-diffusive scaling limit for a one-dimensional version of the Mott random walk. The limiting process can be viewed heuristically as a one-dimensional dif…