Author(s): Dominique J. Bicout, Efim I. Kats, Alexander K. Petukhov, and Robert S. Whitney
A bounded random walk exhibits strong correlations between collisions with a boundary. For a one-dimensional walk, we obtain the full statistical distribution of the number of such collisions in a time t. In the large t limit, the fluctuations in the number of collisions are found to be size indepen…
[Phys. Rev. Lett. 110, 010602] Published Wed Jan 02, 2013