Dynamical systems that produce the Lévy flights

Tomoshige Miyaguchi, Yoji Aizawa

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)697-704
Number of pages8
JournalProgress of Theoretical Physics
Volume10
Issue number4
Publication statusPublished - 2001 Oct

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dynamical systems
flight
orbits

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Miyaguchi, T., & Aizawa, Y. (2001). Dynamical systems that produce the Lévy flights. Progress of Theoretical Physics, 10(4), 697-704.

Dynamical systems that produce the Lévy flights. / Miyaguchi, Tomoshige; Aizawa, Yoji.

In: Progress of Theoretical Physics, Vol. 10, No. 4, 10.2001, p. 697-704.

Research output: Contribution to journalArticle

Miyaguchi, T & Aizawa, Y 2001, 'Dynamical systems that produce the Lévy flights', Progress of Theoretical Physics, vol. 10, no. 4, pp. 697-704.
Miyaguchi, Tomoshige ; Aizawa, Yoji. / Dynamical systems that produce the Lévy flights. In: Progress of Theoretical Physics. 2001 ; Vol. 10, No. 4. pp. 697-704.
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