Stochastic Properties of the Radiative Transfer Equation

  • Wilhelm von Waldenfels


Radiative transfer is connected with Markov processes in two ways. The usual transfer equation corresponds to a process with five dimensional state space in continuous time, the Milne’s equation corresponds to process in three dimensional state space in discrete time.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. Chandrasekhar, Radiative Transfer, Dover, 1960 Google Scholar
  2. 2.
    W. Feller, An Introduction to Probability Theory and its Applications II, John Wiley, 1971 Google Scholar
  3. 3.
    Fuehrer? Google Scholar
  4. 4.
    N. Wiener, E. Hopf, Sitzungsberichte der Preussischen, Akad. Phys.-Math. Klasse, p. 696 (1931) Google Scholar
  5. 5.
    E. Hopf, Mathematical Problems of Radiative Equilibrium (Cambridge, Math. Tract, No. 31) Cambridge, 1934 Google Scholar
  6. 6.
    J.G. Kemenyi, J.L. Snell, Finite Markov Chains, Springer, 1976 Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Wilhelm von Waldenfels
    • 1
  1. 1.Institut für Angewandte Mathematik der Universität HeidelbergHeidelbergGermany

Personalised recommendations