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| Abstract |
A general method is discussed for the treatment of the probability distribution functions of randomly additive quantities which are related to a certain Markoffian process. It is shown that the genera...ting function method making use of the Laplace transformation gives a systematic way of treatment. Then the main problem is reduced to a certain Eigen-value problem, which has been proved very useful for some statistical-thermodynamical problems and some diffusion problems in physics. The slowing down of neutrons in a scattering medium is discussed from the point of view, which is an interesting example of the stochastic problems. Though the results are almost the same as those described in Marshak's paper (Rev. Mod. Phys. 19, 185 (1947)), the discussions will throw light into the nature of the problem.show more
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