38 citations · 185 across the 29 of their papers we have counts for
29 papers
Rate of divergence of time constant for frog model with vanishing initial density
Ryoki Fukushima, Naoki Kubota
The frog model with a Bernoulli initial configuration is an interacting particle system on the -dimensional lattice () with two types of particles: active and sleeping…
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 […
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…
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…
On large deviation rate functions for a continuous-time directed polymer in weak disorder
Ryoki Fukushima, Stefan Junk
We show that the endpoint large deviation rate function for a continuous-time directed polymer agrees with the rate function of the underlying random walk near the origin in the wh…