Local limit theorem for directed polymers beyond the -phase
S Junk - arXiv preprint arXiv:2307.05097, 2023 - arxiv.org
We consider the directed polymer model in the weak disorder phase under the assumption
that the partition function is $ L^ p $-bounded for some $ p> 1+ 2/d $. We prove a local limit …
that the partition function is $ L^ p $-bounded for some $ p> 1+ 2/d $. We prove a local limit …
Stability of weak disorder phase for directed polymer with applications to limit theorems
S Junk - arXiv preprint arXiv:2105.04082, 2021 - arxiv.org
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 …
show that, in the interior of the weak disorder phase, weak disorder continues to hold upon …
[引用][C] DIRECTED POLYMERS IN THE WEAK DISORDER PHASE–HYPERCONTRACTIVITY AND NEW MOMENT BOUNDS
S JUNK - 2021