Dynamical systems that produce the Lévy flights

Tomoshige Miyaguchi; Yoji Aizawa

Dynamical systems that produce the Lévy flights

Tomoshige Miyaguchi^*, Yoji Aizawa

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We introduce a one-dimensional map producing flights of arbitrary length and explain that the orbits and the density functions that evolve under this map have the same properties as Lévy flight. We derive an approximated Frobenius-Perron equation and prove that this equation converges to the Lévy diffusion equation.

Original language	English
Pages (from-to)	697-704
Number of pages	8
Journal	Progress of Theoretical Physics
Volume	10
Issue number	4
Publication status	Published - 2001 Oct

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

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abstract = "We introduce a one-dimensional map producing flights of arbitrary length and explain that the orbits and the density functions that evolve under this map have the same properties as L{\'e}vy flight. We derive an approximated Frobenius-Perron equation and prove that this equation converges to the L{\'e}vy diffusion equation.",

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Dynamical systems that produce the Lévy flights

Abstract

ASJC Scopus subject areas

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