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A Nonlinear Evolution with Travelling Waves

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Number Theory and Physics

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 47))

Abstract

We consider a discrete time, discrete space nonlinear evolution which describes irregular filament growth, polymers on disordered trees and branching random walk. A limit theorem is proven which indicates travelling wave behaviour of the evolution.

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References

  1. J.D. Biggins, Chernoff’s theorem in the branching random walk, J. Appl. Prob. 14 (1977), 630–636.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Informatics, Delft University of Technology, Julianalaan 132, NL-2628, BL Delft, The Netherlands

    F. M. Dekking

Authors
  1. F. M. Dekking
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Editor information

Editors and Affiliations

  1. Service de Physique Théorique, C.E.N Saclay, F-91191, Gif-sur-Yvette Cedex, France

    Jean-Marc Luck  & Pierre Moussa  & 

  2. Institut Henri-Poincaré, Problèmes Diophantiens, Université de Paris 6, F-75231, Paris Cedex 05, France

    Michel Waldschmidt

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© 1990 Springer-Verlag Berlin Heidelberg

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Dekking, F.M. (1990). A Nonlinear Evolution with Travelling Waves. In: Luck, JM., Moussa, P., Waldschmidt, M. (eds) Number Theory and Physics. Springer Proceedings in Physics, vol 47. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75405-0_21

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  • DOI: https://doi.org/10.1007/978-3-642-75405-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75407-4

  • Online ISBN: 978-3-642-75405-0

  • eBook Packages: Springer Book Archive

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