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Stochastic Properties of the Radiative Transfer Equation

  • Wilhelm von Waldenfels

Summary

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.

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References

  1. 1.
    S. Chandrasekhar, Radiative Transfer, Dover, 1960 Google Scholar
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    W. Feller, An Introduction to Probability Theory and its Applications II, John Wiley, 1971 Google Scholar
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    Fuehrer? Google Scholar
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    N. Wiener, E. Hopf, Sitzungsberichte der Preussischen, Akad. Phys.-Math. Klasse, p. 696 (1931) Google Scholar
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    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

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