38 citations · 185 across the 29 of their papers we have counts for
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math.PR2010★ 13 cited
Classical and quantum behavior of the integrated density of states for a randomly perturbed lattice
Ryoki Fukushima, Naomasa Ueki
The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the…
math.PR2010★ 10 cited
Moment asymptotics for the parabolic Anderson problem with a perturbed lattice potential
Ryoki Fukushima, Naomasa Ueki
The parabolic Anderson problem with a random potential obtained by attaching a long tailed potential around a randomly perturbed lattice is studied. The moment asymptotics of the t…
math.PR2010★ 16 cited
Second order asymptotics for Brownian motion in a heavy tailed Poissonian potential
Ryoki Fukushima
We consider the Feynman-Kac functional associated with a Brownian motion in a random potential. The potential is defined by attaching a heavy tailed positive potential around the P…