Information Geometric Investigation of Solutions to the Fractional Fokker-Planck Equation
Artikel i vetenskaplig tidskrift, 2020

A novel method for measuring distances between statistical states as represented by probability distribution functions (PDF) has been proposed, namely the information length. The information length enables the computation of the total number of statistically different states that a system evolves through in time. Anomalous transport can presumably be modeled fractional velocity derivatives and Langevin dynamics in a Fractional Fokker-Planck (FFP) approach. The numerical solutions or PDFs are found for varying degree of fractionality (alpha) of the stable Levy distribution as solutions to the FFP equation. Specifically, the information length of time-dependent PDFs for a given fractional index alpha is computed.

anomalous transport

information geometry

fractional Fokker-Planck equation

Författare

Johan Anderson

Chalmers, Rymd-, geo- och miljövetenskap

MATHEMATICS

2227-7390 (eISSN)

Vol. 8 5 668

Ämneskategorier

Sannolikhetsteori och statistik

Matematisk analys

DOI

10.3390/MATH8050668

Mer information

Senast uppdaterat

2020-12-25