Dynamical Systems which Produce the Lévy Flights
Abstract
We introduce a onedimensional 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 FrobeniusPerron equation and prove that this equation converges to the Lévy diffusion equation.
 Publication:

Progress of Theoretical Physics
 Pub Date:
 October 2001
 DOI:
 10.1143/PTP.106.697
 Bibcode:
 2001PThPh.106..697M