On non-measurable sets and invariant tori
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⚛️ physics.class-ph
physics.gen-ph
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invariantnon-measurablequestionsetstorianswerdifferentdiscussed
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The question: "How many different trajectories are there on a single invariant torus within the phase space of an integrable Hamiltonian system?" is posed. A rigorous answer to the question is found both for the rational and the irrational tori. The relevant notion of non-measurable sets is discussed.
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