Stochastic operators,information, and entropy |
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Authors: | Jürgen Voigt |
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Affiliation: | (1) Mathematisches Institut der Universität München, D-8000 München 2, Germany |
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Abstract: | For a stochastic operatorU on andL1-space, i.eU is linear, positive, and norm preserving on the positive cone ofL1, it is shown thatU decreases relative information between two nonnegativeL1-functions. Furthermore it is shown that the following properties ofU are closely related:U is energy decreasing (energy preserving),U isH-decreasing, whereH is Boltzmann'sH-functional, and the Maxwell distributions are fixed points ofU. |
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Keywords: | |
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