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math.PR2008★ 21 cited
Brownian survival and Lifshitz tail in perturbed lattice disorder
Ryoki Fukushima
We consider the annealed asymptotics for the survival probability of Brownian motion among randomly distributed traps. The configuration of the traps is given by independent displa…
math.PR2007★ 10 cited
Asymptotics for the Wiener sausage among Poissonian obstacles
Ryoki Fukushima
We consider the Wiener sausage among Poissonian obstacles. The obstacle is called hard if Brownian motion entering the obstacle is immediately killed, and is called soft if it is k…