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Volumn 90, Issue 6, 2014, Pages

Infinite densities for Lévy walks

Author keywords

[No Author keywords available]

Indexed keywords

BALLISTICS;

EID: 84920081338     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.90.062135     Document Type: Article
Times cited : (73)

References (87)
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    • In Fig. 4 (Equation presented) and hence the position (Equation presented) where the two solutions overlap is roughly (Equation presented) while in Fig. 5 (Equation presented), hence this point is shifted towards (Equation presented)
    • In Fig. 4 (Equation presented) and hence the position (Equation presented) where the two solutions overlap is roughly (Equation presented) while in Fig. 5 (Equation presented), hence this point is shifted towards (Equation presented).
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    • Large-deviation theory deals with remote tails of distribution functions, for example, with the classical problem of summation of independent random variable with a common PDF. In this example large-deviation theory contains the Gaussian central limit theorem and extends it to the regime of large fluctuations [77]. It is still left to be seen if large-deviations theories can be used to obtain infinite densities for the Lévy walk problem
    • Large-deviation theory deals with remote tails of distribution functions, for example, with the classical problem of summation of independent random variable with a common PDF. In this example large-deviation theory contains the Gaussian central limit theorem and extends it to the regime of large fluctuations [77]. It is still left to be seen if large-deviations theories can be used to obtain infinite densities for the Lévy walk problem.
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