Flows on solenoids are generically not almost periodic

Alex Clark

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classification 🧮 math.DS math.GNmath.GT

keywords flowsalmostperiodiccarriesconsistingcontaingenericgenerically

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The space of non-singular flows on any given solenoid is shown to contain a generic subset consisting of flows that are not almost periodic. Whether this result carries over to Hamiltonian flows remains an open question.

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Flows on solenoids are generically not almost periodic

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