Walkers on the circle

Details Walkers on the circle Walkers on the circle

2009-09-09

arxiv.org/abs/0909.1687v2

J. Stat. Mech. (2010) L01001

Physics

Physics and Society

7 pages, 3 figures

Scientific paper

10.1088/1742-5468/2010/01/L01001

We experimentally demonstrate that the statistical properties of distances between pedestrians which are hindered from avoiding each other are described by the Gaussian Unitary Ensemble of random matrices. The same result has recently been obtained for an $n$-tuple of non-intersecting (one-dimensional, unidirectional) random walks. Thus, the observed behavior of autonomous walkers conditioned not to cross their trajectories (or, in other words, to stay in strict order at any time) resembles non-intersecting random walks.

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