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Instabilities in kinetic theory and their relationship to the ergodic theorem

A method for obtaining simple criteria for instabilities in kinetic theory is described and outlined, specifically for the relativistic Vlasov-Maxwell system. An important ingredient of the method is an analysis of a parametrized set of averaging operators along trajectories. This leads to a connection with similar problems in ergodic theory. In particular the rate of convergence in the ergodic theorem is a common feature which is studied.

preprint2014arXivOpen access
Jonathan Ben-Artzi
math.APmath.SP
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Jonathan Ben-Artzi

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