Reasoning about RoboCup soccer narratives
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be maintained, even in the zero-density limit of an arbitrarily large flock in an infinite space. The phase diagram spanned by the two main parameters of our model, which encode the tendencies for particles to align and to stay together, contains non-moving "gas", "liquid" and "solid" phases separated from their moving counterparts by the onset of collective motion. The "gas/liquid" and "liquid/solid" are shown to be first-order phase transitions in all cases. In the cohesive phases, we study also the diffusive properties of individuals and their relation to the macroscopic motion and to the shape of the flock. © 2003 Elsevier Science B.V. All rights reserved.
Hannaneh Hajishirzi, Julia Hockenmaier, et al.
UAI 2011
R.B. Morris, Y. Tsuji, et al.
International Journal for Numerical Methods in Engineering
Andrew Skumanich
SPIE Optics Quebec 1993
F.M. Schellenberg, M. Levenson, et al.
BACUS Symposium on Photomask Technology and Management 1991