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I study the scaling behavior in the physical parameters of dynamicalentropies, classical and quantum, in a specifically devised model ofcollision-induced decoherence in a chaotic system. The treatment is fullycanonical and no approximations are involved or infinite limits taken. Ipresent this model in a detailed way, in order to clarify my views in thedebate about the nature, definition, and relevance of quantum chaos.

Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol'd Cat