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math.DS2026
Rudolph-Johnson without dynamics: endomorphic rigidity on the circle
Peter Burton, Kate Juschenko
We prove that entropy alone, with no invariance hypothesis, forces a Borel probability measure on the circle toward Lebesgue measure under every sublacunary set of multiplicative e…
math.DS2026
Entropic rates from eigenfunction structure for
Peter Burton, Kate Juschenko
In a companion article \cite{RJnodyn} the present authors proved a form of the Rudolph--Johnson theorem which is effective at finite resolution, bounding the low-frequency Fourier…