Parameters of the fractional Fokker-Planck equation
  We study the connection between the parameters of the fractional Fokker-Planck equation, which is associated with the overdamped Langevin equation driven by noise with heavy-tailed increments, and the transition probability density of the noise generating process. Explicit expressions for these parameters are derived both for finite and infinite variance of the rescaled transition probability density. 
S. I. Denisov (1 and 2), Peter H\"anggi (3), Holger Kantz (1) ((1)Max   Planck Institute for the Physics of Complex Systems,...