Asymmetric Lévy flights in the presence of absorbing boundaries

Clélia de Mulatier 1, 2, Alberto Rosso 1, Gregory Schehr 1 Journal of Statistical Mechanics: Theory and Experiment (2013) P10006 We consider a one dimensional asymmetric random walk whose jumps are identical, independent and drawn from a distribution \phi(\eta) displaying asymmetric power law tails (i.e. \phi(\eta) \sim c/\eta^{\alpha +1} for large positive jumps and \phi(\eta) \sim c/(\gamma |\eta|^{\alpha +1}) for large negative …

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