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Jun 6, 2018 at 15:31 comment added Romain Gicquaud I did not spend time doing much numerics. With the particular choice of function you have in the Python source code, for p=6, I get decay but there is a slight increase when p=7. I will come back probably tomorrow to you with an argument that shows that you can choose some better range in 1d than what is found by @MarkusSprecher in higher dimension.
Jun 5, 2018 at 18:33 comment added fedja @RomainGicquaud I'm curious what was the least value of $p$ that you could get.
Jun 4, 2018 at 15:23 comment added Romain Gicquaud You are perfectly right. I did some numerics to see it explicitly. You can find the Python code here <lmpt.univ-tours.fr/~gicquaud/doc/test.py >
Jun 2, 2018 at 6:26 vote accept Romain Gicquaud
Jun 1, 2018 at 21:18 history answered fedja CC BY-SA 4.0