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Walkers on the circle
- 1.0438353 - FZÚ 2015 RIV GB eng J - Journal Article
Jezbera, D. - Kordek, D. - Kříž, J. - Šeba, Petr - Šroll, P.
Walkers on the circle.
Journal of Statistical Mechanics-Theory and Experiment. Roč. 2010, Jan (2010), "L01001-1"-"L01001-6". ISSN 1742-5468. E-ISSN 1742-5468
R&D Projects: GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10100520
Keywords : traffic and crowd dynamics * random matrix theory and extensions
Subject RIV: BE - Theoretical Physics
Impact factor: 1.822, year: 2010
We demonstrate experimentally 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.
Permanent Link: http://hdl.handle.net/11104/0241781
Number of the records: 1