Replica overlap and covering time for the Wiener sausages among Poissonian obstacles
Replica overlap and covering time for the Wiener sausages among Poissonian obstacles
We study two objects concerning the Wiener sausage among Poissonian obstacles. The first is the asymptotics for the \emph{replica overlap}, which is the intersection of two independent Wiener sausages. We show that it is asymptotically equal to their union. This result confirms that the localizing effect of the media is …