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On the joint residence time of<i>N</i>independent two-dimensional Brownian motions

On the joint residence time of<i>N</i>independent two-dimensional Brownian motions

We study the behaviour of several joint residence times of N independent Brownian particles in a disc of radius R in two dimensions. We consider: (i) the time TN(t) spent by all N particles simultaneously in the disc within the time interval [0, t], (ii) the time T(m)N(t) which at …