Stefan Junk

most citedLocal limit theorem for directed polymers beyond the

L^{2}

-phase

1 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.PR2023★ 1 cited

Local limit theorem for directed polymers beyond the $L^{2}$ -phase

Stefan Junk

We consider the directed polymer model in the weak disorder phase under the assumption that the partition function is $L^{p}$ -bounded for some $p > 1 + \frac{2}{d}$ . We prove that the poin…

math.PR2023

Moment characterization of the weak disorder phase for directed polymers in a class of unbounded environments

Ryoki Fukushima, Stefan Junk

For a directed polymer model in random environment, a characterization of the weak disorder phase in terms of the moment of the renormalized partition function has been proved in […

math.PR2022

Extremal regime for one-dimensional Mott variable-range hopping

David A. Croydon, Ryoki Fukushima, Stefan Junk

We study the asymptotic behaviour of a version of the one-dimensional Mott random walk in a regime that exhibits severe blocking. We establish that, for any fixed time, the appropr…

math.PR2022★ 1 cited

Fluctuations of partition functions of directed polymers in weak disorder beyond the $L^{2}$ -phase

Stefan Junk

We study the directed polymer model in a bounded environment in weak disorder but without $L^{2}$ -boundedness, specifically the speed of homogenization for the field $(W_n^{0,x})_{x\…

Local limit theorem for directed polymers beyond the L2-phase

Moment characterization of the weak disorder phase for directed polymers in a class of unbounded environments

Extremal regime for one-dimensional Mott variable-range hopping

Fluctuations of partition functions of directed polymers in weak disorder beyond the L2-phase

Local limit theorem for directed polymers beyond the $L^{2}$ -phase

Fluctuations of partition functions of directed polymers in weak disorder beyond the $L^{2}$ -phase