Self-similar Spreading in a Merging-Splitting Model of Animal Group Size

In a recent study of certain merging-splitting models of animal-group size (Degond et al. in J Nonlinear Sci 27(2):379–424, 2017 ), it was shown that an initial size distribution with infinite first moment leads to convergence to zero in weak sense, corresponding to unbounded growth of group size. I...

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Veröffentlicht in:	Journal of statistical physics 2019-06, Vol.175 (6), p.1311-1330
Hauptverfasser:	Liu, Jian-Guo, Niethammer, B., Pego, Robert L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Power law Quantum Physics Self-similarity Size distribution Splitting Spreading Statistical Physics and Dynamical Systems Theoretical
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