Asymptotic behavior of generalized Levy walks

  • Marcin Kotulski
Part II: Seminars
Part of the Lecture Notes in Physics book series (LNP, volume 457)


We propose a generalization of Lévy walk in one dimension allowing for an arbitrary bias and asymmetry of jumps. An asymptotic distribution (propagator) of distance R(t) reached up to time t by a particle initially at the origin is found to be a possibly asymmetric Lévy-stable law s α,β (τ) or a positive law hλ(xx). A probabilistic approach in terms of random variables R; and T i is applied.


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Copyright information

© Springer-Verl 1995

Authors and Affiliations

  • Marcin Kotulski
    • 1
  1. 1.Hugo Steinhaus Center for Stochastic MethodsTechnical University of WroclawWroclawPoland

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