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Some formal aspects of subdynamics. (English) Zbl 1434.82069

Summary: The theory of subdynamics is formulated assuming the existence of a spectral representation of the collision operator. This approach avoids perturbation schemes; however the presentation is formal. It may be used to develop further the theory as well as a starting point for a rigorous mathematical discussion. The construction of the operators introduced in the theory of subdynamics is presented in detail. Some questions related to the transformation theory leading to the so-called “physical representation” are briefly discussed.

MSC:

82C40 Kinetic theory of gases in time-dependent statistical mechanics
47D07 Markov semigroups and applications to diffusion processes
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