Corpus ID: 235731603

Asymptotic densities of planar L\'{e}vy walks: a non-isotropic case

  title={Asymptotic densities of planar L\'\{e\}vy walks: a non-isotropic case},
  author={Yu. S. Bystrik and Sergey Denisov},
Lévy walks are a particular type of continuous-time random walks which results in a superdiffusive spreading of an initially localized packet. The original one-dimensional model has a simple schematization that is based on starting a new unidirectional motion event either in the positive or in the negative direction. We consider two-dimensional generalization of Lévy walks in the form of the so-called XY-model. It describes a particle moving with a constant velocity along one of the four basic… Expand

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