Non-negatively curved diffusions exhibit total-variation cutoff as soon as the product of spectral gap and mixing time diverges, with a universal mixing-window bound.
Universal cutoff for Dyson Ornstein Uhlenbeck process
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Cutoff for non-negatively curved diffusions
Non-negatively curved diffusions exhibit total-variation cutoff as soon as the product of spectral gap and mixing time diverges, with a universal mixing-window bound.