Large deviations of the ballistic Lévy walk model.

  title={Large deviations of the ballistic L{\'e}vy walk model.},
  author={Wanli Wang and Marc H{\"o}ll and Eli Barkai},
  journal={Physical review. E},
  volume={102 5-1},
We study the ballistic Lévy walk stemming from an infinite mean traveling time between collision events. Our study focuses on the density of spreading particles all starting from a common origin, which is limited by a "light" cone -v_{0}t<x<v_{0}t. In particular we study this density close to its maximum in the vicinity of the light cone. The spreading density follows the Lamperti-arcsine law describing typical fluctuations. However, this law blows up in the vicinity of the spreading horizon… 

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