Walkers on the circle
Physics and Society
2010-02-01 v2 Data Analysis, Statistics and Probability
Abstract
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 -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.
Cite
@article{arxiv.0909.1687,
title = {Walkers on the circle},
author = {Daniel Jezbera and David Kordek and Jan Kriz and Petr Seba and Petr Sroll},
journal= {arXiv preprint arXiv:0909.1687},
year = {2010}
}
Comments
7 pages, 3 figures