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
S. Chandrasekhar, Radiative Transfer, Dover, 1960
W. Feller, An Introduction to Probability Theory and its Applications II, John Wiley, 1971
Fuehrer?
N. Wiener, E. Hopf, Sitzungsberichte der Preussischen, Akad. Phys.-Math. Klasse, p. 696 (1931)
E. Hopf, Mathematical Problems of Radiative Equilibrium (Cambridge, Math. Tract, No. 31) Cambridge, 1934
J.G. Kemenyi, J.L. Snell, Finite Markov Chains, Springer, 1976
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von Waldenfels, W. (2009). Stochastic Properties of the Radiative Transfer Equation. In: Kanschat, G., Meinköhn, E., Rannacher, R., Wehrse, R. (eds) Numerical Methods in Multidimensional Radiative Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85369-5_2
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DOI: https://doi.org/10.1007/978-3-540-85369-5_2
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