Abstract
It is shown that the original Hopf formulation for the time evolution of probability distributions over classical fields follows deductively from the space-time version of the theory.
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References
Hopf, E. (1952).Journal of Rational Mechanics and Analysis,1, 87 (1952).
Rosen, G. (1960).Physics of Fluids,3, 519, 525, and works cited therein.
Rosen, G. (1967).Physics of Fluids,10, 2614.
Rosen, G. (1970).Physics Letters,31A, 142, and works cited therein.
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This work was supported by a grant from the National Science Foundation.
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Rosen, G. Dynamics of probability distributions over classical fields. Int J Theor Phys 4, 189–195 (1971). https://doi.org/10.1007/BF00673797
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DOI: https://doi.org/10.1007/BF00673797