38 citations · 185 across the 29 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.PR2018★ 2 cited
Zero temperature limit for the Brownian directed polymer among Poissonian disasters
Ryoki Fukushima, Stefan Junk
We study a continuum model of directed polymer in random environment. The law of the polymer is defined as the Brownian motion conditioned to survive among space-time Poissonian di…
math.PR2018
Slowdown estimates for one-dimensional random walks in random environment with holding times
Amir Dembo, Ryoki Fukushima, Naoki Kubota
We consider a one dimensional random walk in random environment that is uniformly biased to one direction. In addition to the transition probability, the jump rate of the random wa…
math.PR2018★ 9 cited
Geometry of the random walk range conditioned on survival among Bernoulli obstacles
Jian Ding, Ryoki Fukushima, Rongfeng Sun +1
We consider a discrete time simple symmetric random walk among Bernoulli obstacles on , , where the walk is killed when it hits an obstacle. It is known that…