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Mar 20, 2021 at 20:37 comment added Bogdan Thank you. Yes, I know this weaker bound, but recently started to suspect that exponential bound should be true. But did not know why. In particular, I did not know that "in most directions, high-dimensional isotropic log-concave measures are sub-gaussian rather than sub-exponential", thank you for pointing this out. I will have a look at Chapter 8 of the book.
Mar 20, 2021 at 17:30 history answered Guillaume Aubrun CC BY-SA 4.0