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  • 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.
  • 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. (en)
Title
  • Walkers on the circle
  • Walkers on the circle (en)
skos:prefLabel
  • Walkers on the circle
  • Walkers on the circle (en)
skos:notation
  • RIV/68378271:_____/10:00438353!RIV15-AV0-68378271
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC06002), S, Z(AV0Z10100520)
http://linked.open...iv/cisloPeriodika
  • Jan
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 298559
http://linked.open...ai/riv/idVysledku
  • RIV/68378271:_____/10:00438353
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • traffic and crowd dynamics; random matrix theory and extensions (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [BC18F8354DC7]
http://linked.open...i/riv/nazevZdroje
  • Journal of Statistical Mechanics-Theory and Experiment
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 2010
http://linked.open...iv/tvurceVysledku
  • Šeba, Petr
  • Kříž, J.
  • Jezbera, D.
  • Kordek, D.
  • Šroll, P.
http://linked.open...ain/vavai/riv/wos
  • 000274266600001
http://linked.open...n/vavai/riv/zamer
issn
  • 1742-5468
number of pages
http://bibframe.org/vocab/doi
  • 10.1088/1742-5468/2010/01/L01001
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