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Grok only gets better from here
Grok only gets better from herePaata Ivanisvili: Grok 4.5 just constructed an explicit counterexample to hypercontractivity for the Poisson semigroup (the square root of the Laplace–Beltrami operator) on the 4-sphere.Back in 2021, with Rupert Frank https://arxiv.org/abs/2101.06209 we proved that hypercontractivity hold